Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States

Abstract

This review addresses recent developments in nonequilibrium statistical physics. Focusing on phase transitions from fluctuating phases into absorbing states, the universality class of directed percolation is investigated in detail. The survey gives a general introduction to various lattice models of directed percolation and studies their scaling properties, field-theoretic aspects, numerical techniques, as well as possible experimental realizations. In addition, several examples of absorbing-state transitions which do not belong to the directed percolation universality class will be discussed. As a closely related technique, we investigate the concept of damage spreading. It is shown that this technique is ambiguous to some extent, making it impossible to define chaotic and regular phases in stochastic nonequilibrium systems. Finally, we discuss various classes of depinning transitions in models for interface growth which are related to phase transitions into absorbing states.

Review article, revised version, LaTeX, 153 pages, 63 encapsulated postscript figures

References in corpus (13)

• Paths to Self-Organized Criticality
• Low-density series expansions for directed percolation I: A new efficient algorithm with applications to the square lattice
• On possible experimental realizations of directed percolation
• Discrete stochastic modeling of calcium channel dynamics
• Pair contact process with diffusion - A new type of nonequilibrium critical behavior?
• First order phase transition in a 1+1-dimensional nonequilibrium wetting process
• Flowing sand - a physical realization of Directed Percolation
• Fermionic field theory for directed percolation in (1+1) dimensions
• Surface Critical Behavior in Systems with Non-Equilibrium Phase Transitions
• Low-density series expansions for directed percolation II: The square lattice with a wall
• Directed Polymer -- Directed Percolation Transition
• Dimensional reduction in a model with infinitely many absorbing states
• Effective Monte Carlo simulation on System-V massively parallel associative string processing architecture

Cited by in corpus (955)

• The density-matrix renormalization group
• Evolutionary games on graphs
• Critical phenomena in complex networks
• Statistical physics of human cooperation
• Evolutionary dynamics of group interactions on structured populations: A review
• Universality classes in nonequilibrium lattice systems
• Non equilibrium steady states: fluctuations and large deviations of the density and of the current
• Phase transitions and volunteering in spatial public goods games
• Social physics
• The nonperturbative functional renormalization group and its applications
• Colloquium: Criticality and dynamical scaling in living systems
• Keldysh Field Theory for Driven Open Quantum Systems
• Persistence and First-Passage Properties in Non-equilibrium Systems
• Phase diagrams for Prisoner's Dilemma game on two-dimensional lattices
• Hyperuniform States of Matter
• Recent advances in percolation theory and its applications
• Rare region effects at classical, quantum, and non-equilibrium phase transitions
• Critical Coarsening without Surface Tension: the Voter Universality Class
• First-order dynamical phase transition in models of glasses: an approach based on ensembles of histories
• Strong disorder RG approach of random systems
• Thermodynamic formalism for systems with Markov dynamics
• Universal scaling behavior of non-equilibrium phase transitions
• Growing interfaces uncover universal fluctuations behind scale invariance
• Depinning and nonequilibrium dynamic phases of particle assemblies driven over random and ordered substrates: a review
• Evolutionary prisoner's dilemma games with optional participation
• Applications of Field-Theoretic Renormalization Group Methods to Reaction-Diffusion Problems
• Directed percolation criticality in turbulent liquid crystals
• Power laws and Self-Organized Criticality in Theory and Nature
• Soft matter in hard confinement: phase transition thermodynamics, structure, texture, diffusion and flow in nanoporous media - topical review
• Hyperuniformity of critical absorbing states
• Rare Events Statistics in Reaction--Diffusion Systems
• 25 Years of Self-Organized Criticality: Concepts and Controversies
• Percolation in Directed Scale-Free Networks
• Emergent collective phenomena in a mixture of hard shapes through active rotation
• Shock formation in an exclusion process with creation and annihilation
• Phenomenology of local scale invariance: from conformal invariance to dynamical scaling
• An appetizer to modern developments on the Kardar-Parisi-Zhang universality class
• A Universal Transition to Turbulence in Channel Flow
• Dynamic criticality in glass-forming liquids
• Non-Equilibrium Strongly Hyperuniform Fluids of Circle Active Particles with Large Local Density Fluctuations
• Evidence for geometry-dependent universal fluctuations of the Kardar-Parisi-Zhang interfaces in liquid-crystal turbulence
• Onset of meso-scale turbulence in living fluids
• Statistical Mechanics of Equilibrium and Nonequilibrium Phase Transitions: The Yang-Lee Formalism
• Exponentially accelerated approach to stationarity in Markovian open quantum systems through the Mpemba effect
• Phase Transitions and Spatio-Temporal Fluctuations in Stochastic Lattice Lotka-Volterra Models
• Critical phenomena and universal dynamics in one-dimensional driven diffusive systems with two species of particles
• Hyperuniform density fluctuations and diverging dynamic correlations in periodically driven colloidal suspensions
• Integration of Langevin Equations with Multiplicative Noise and Viability of Field Theories for Absorbing Phase Transitions
• Anomalous Front Broadening During Spontaneous Imbibition in a Matrix with Elongated Pores
• Finite-size scaling in complex networks
• Jamming Percolation and Glass Transitions in Lattice Models
• Kinetic constraints, hierarchical relaxation and onset of glassiness in strongly interacting and dissipative Rydberg gases
• Stochastic population dynamics in spatially extended predator-prey systems
• Simplifying the complexity of pipe flow
• Imaging superconducting vortex core and lattice with the scanning tunneling microscope
• Non-equilibrium Functional Renormalization for Driven-Dissipative Bose-Einstein Condensation
• Driven Markovian Quantum Criticality
• Self-organization without conservation: true or just apparent scale-invariance?
• Evolutionary prisoner's dilemma game on hierarchical lattices
• Macroscopic yielding in jammed solids is accompanied by a non-equilibrium first-order transition in particle trajectories
• Infinite-randomness critical point in the two-dimensional disordered contact process
• Critical behavior of active Brownian particles
• Clustering, advection and patterns in a model of population dynamics with neighborhood-dependent rates
• A Generalized Epidemic Process and Tricritical Dynamic Percolation
• Experimental realization of directed percolation criticality in turbulent liquid crystals
• Langevin description of critical phenomena with two symmetric absorbing states
• Master equations and the theory of stochastic path integrals
• Critical behavior and Griffiths effects in the disordered contact process
• Universal finite-size scaling behavior and universal dynamical scaling behavior of absorbing phase transitions with a conserved field
• Dynamics below the depinning threshold
• Non Perturbative Renormalization Group study of reaction-diffusion processes and directed percolation
• Evolutionary dynamics of cooperation in neutral populations
• On the critical behavior of the Susceptible-Infected-Recovered (SIR) model on a square lattice
• Noise, diffusion, and hyperuniformity
• Quasi-stationary distributions for stochastic processes with an absorbing state
• Formation and growth of shear bands in glasses: existence of an underlying directed percolation transition
• Frozen steady states in active systems
• Lee-Yang zeros and phase transitions in nonequilibrium steady states
• Statistical Physics Of Opinion Formation: is it a SPOOF?
• Phase transition and selection in a four-species cyclic Lotka-Volterra model
• Absorbing state phase transition with competing quantum and classical fluctuations
• An Experimental Study of Robustness to Asynchronism for Elementary Cellular Automata
• Fluctuations and Correlations in Lattice Models for Predator-Prey Interaction
• Critical properties of the reaction - diffusion model 2A -> 3A, 2A ->0
• Space-time thermodynamics and subsystem observables in a kinetically constrained model of glassy systems
• Non-perturbative fixed point in a non-equilibrium phase transition
• Finite-Size Scaling of a First-Order Dynamical Phase Transition: Adaptive Population Dynamics and an Effective Model
• Evolutionary potential games on lattices
• Absorbing Phase Transitions of Branching-Annihilating Random Walks
• The non-equilibrium phase transition of the pair-contact process with diffusion
• Dissipation driven quantum phase transitions and symmetry breaking
• Physical Basis of Large Microtubule Aster Growth
• Self-Organized Bistability Associated With First-Order Phase Transitions
• Universality Class of the Reversible-Irreversible Transition in Sheared Suspensions
• Pair approximation for the q-voter model with independence on complex networks
• Motion of influential players can support cooperation in Prisoner's Dilemma
• Criticality and quenched disorder: rare regions vs. Harris criterion
• Dynamics of interacting particle systems: stochastic process and field theory
• Systems with two symmetric absorbing states: relating the microscopic dynamics with the macroscopic behavior
• Self-propelled hard disks: implicit alignment and transition to collective motion
• Random Organization and Plastic Depinning
• Feedback mechanisms for self-organization to the edge of a phase transition
• Dynamic networks and directed percolation
• Phase Transition in the ABC Model
• Exact solution of a boundary time-crystal phase transition: time-translation symmetry breaking and non-Markovian dynamics of correlations
• Promotion of cooperation induced by nonlinear attractive effect in spatial Prisoner's Dilemma game
• Quantitative Phase Diagrams of Branching and Annihilating Random Walks
• Non-perturbative Approach to Critical Dynamics
• Capillary rise dynamics of liquid hydrocarbons in mesoporous silica as explored by gravimetry, optical and neutron imaging: Nano-rheology and determination of pore size distributions from the shape of imbibition fronts
• Experimental signatures of an absorbing-state phase transition in an open driven many-body quantum system
• Competition and cooperation in one-dimensional stepping stone models
• Critical exponents of directed percolation measured in spatiotemporal intermittency
• Pair contact process with diffusion - A new type of nonequilibrium critical behavior?
• Towards Classification of Phase Transitions in Reaction--Diffusion Models
• Partially asymmetric exclusion models with quenched disorder
• Universality in driven open quantum matter
• Stochastic exclusion processes versus coherent transport
• Scaling of the propagation of epidemics in a system of mobile agents
• Spatiotemporal perspective on the decay of turbulence in wall-bounded flows
• Temporal Griffiths Phases
• Competing associations in six-species predator-prey models
• Field Theory Approaches to Nonequilibrium Dynamics
• Non-equilibrium Phase Transitions with Long-Range Interactions
• On the critical behavior of a lattice prey-predator model
• Non-equilibrium phase separation with reactions: A canonical model and its behaviour
• Quantum dynamical field theory for non-equilibrium phase transitions in driven open systems
• Renormalization group study of a kinetically constrained model for strong glasses
• Scrambling Transition in a Radiative Random Unitary Circuit
• Quantum contact process
• Population oscillations in spatial stochastic Lotka-Volterra models: A field-theoretic perturbational analysis
• Nonequilibrium phase transitions and finite size scaling in weighted scale-free networks
• Tricritical directed percolation
• Generic Sandpile Models Have Directed Percolation Exponents
• Simple strong glass forming models: mean-field solution with activation
• Divergent Time Scale in Axelrod Model Dynamics
• Active Absorbing State Phase Transition Beyond Directed Percolation : A Class of Exactly Solvable Models
• Directed percolation describes lifetime and growth of turbulent puffs and slugs
• Mean field solutions of kinetic exchange opinion models
• Phase Transitions in Cooperative Coinfections: Simulation Results for Networks and Lattices
• Novel universality class of absorbing transitions with continuously varying critical exponents
• Phase transitions induced by variation of invasion rates in spatial cyclic predator-prey models with four or six species
• Turbulence as a problem in non-equilibrium statistical mechanics
• Internal Fluctuations Effects on Fisher Waves
• Sample-Dependent Phase Transitions in Disordered Exclusion Models
• Transport in a one-dimensional isotropic Heisenberg model at high temperature
• Sampling methods for the quasistationary regime of epidemic processes on regular and complex networks
• Non-equilibrium effective field theory for absorbing state phase transitions in driven open quantum spin systems
• Space-dependent diffusion with stochastic resetting: A first-passage study
• Radial Domany-Kinzel Models with Mutation and Selection
• Fluctuations impact on a pattern-forming model of population dynamics with non-local interactions
• Brownian motion: a paradigm of soft matter and biological physics
• Scaling behavior of fragment shapes
• Nonequilibrium phase transition on a randomly diluted lattice
• Nonequilibrium Dynamics in Low Dimensional Systems
• On the transition to turbulence of wall-bounded flows in general, and plane Couette flow in particular
• Characterizing a non-equilibrium phase transition on a quantum computer
• Exact spectral solution of two interacting run-and-tumble particles on a ring lattice
• The survival probability of a branching random walk in presence of an absorbing wall
• Frequency regulators for the nonperturbative renormalization group: A general study and the model A as a benchmark
• Network Evolution Based on Centrality
• Universal Critical Behavior of Noisy Coupled Oscillators
• The critical point of the transition to turbulence in pipe flow
• Public good diffusion limits microbial mutualism
• Period proliferation in periodic states in cyclically sheared jammed solids
• Activated Random Walkers: Facts, Conjectures and Challenges
• Interface depinning versus absorbing-state phase transitions
• Numerical schemes for continuum models of reaction-diffusion systems subject to internal noise
• Dynamics of an exclusion process with creation and annihilation
• Triviality of quantum trajectories close to a directed percolation transition
• Range Expansion with Mutation and Selection: Dynamical Phase Transition in a Two-Species Eden Model
• Quantum Criticality in Open Quantum Spin Chains with Nonreciprocity
• Unusual scaling for pulsed laser deposition
• Experimental approaches to universal out-of-equilibrium scaling laws: turbulent liquid crystal and other developments
• Metastable Localization of Diseases in Complex Networks
• Scaling behavior of the absorbing phase transition in a conserved lattice gas around the upper critical dimension
• Nonequilibrium phase transition in a model for the propagation of innovations among economic agents
• Characteristics of the asymmetric simple exclusion process in the presence of quenched spatial disorder
• Field theories and exact stochastic equations for interacting particle systems
• Absorbing-state transitions in granular materials close to jamming
• Non-equilibrium universality in the dynamics of dissipative cold atomic gases
• Universality class of nonequilibrium phase transitions with infinitely many-absorbing-states
• Does the brain behave like a (complex) network? I. Dynamics
• Theoretical foundations of studying criticality in the brain
• Influence of local carrying capacity restrictions on stochastic predator-prey models
• Universal scaling behavior at the upper critical dimension of non-equilibrium continuous phase transitions
• Phase Transitions and Scaling in Systems Far From Equilibrium
• Entanglement and Absorbing-State Transitions in Interactive Quantum Dynamics
• A Microscopic Model for Packet Transport in the Internet
• Yang-Lee zeros for a nonequilibrium phase transition
• Depinning exponents of the driven long-range elastic string
• Phase Transitions on Random Lattices: How Random is Topological Disorder?
• Time-integrated observables as order parameters for dynamical phase transitions in closed quantum systems
• Contact process on a Voronoi triangulation
• Absorbing-State Phase Transition for Driven-Dissipative Stochastic Dynamics on $Z$
• The Oslo model, hyperuniformity, and the quenched Edwards-Wilkinson model
• Tricritical directed percolation in 2+1 dimensions
• Asynchronism Induces Second Order Phase Transitions in Elementary Cellular Automata
• Patchiness and Demographic Noise in Three Ecological Examples
• Concurrence Percolation in Quantum Networks
• Field theoretic approach to metastability in the contact process
• Supervised and unsupervised learning of directed percolation
• Topics in coarsening phenomena
• Diffusive epidemic process: theory and simulation
• Confirming and extending the hypothesis of universality in sandpiles
• Classification of the reversible-irreversible transitions in particle trajectories across the jamming transition point
• Emergent Bistability and Switching in a Nonequilibrium Crystal
• Reversibility, Pattern Formation and Edge Transport in Active Chiral and Passive Disk Mixtures
• Ecological feedback in quorum-sensing microbial populations can induce heterogeneous production of autoinducers
• Scaling behavior of the conserved transfer threshold process
• Persistence at the onset of spatiotemporal intermittency in coupled map lattices
• Ageing phenomena without detailed balance: the contact process
• Weakly disordered absorbing-state phase transitions
• Epidemic spreading with immunization and mutations
• Tuning across Universalities with a Driven Open Condensate
• On the critical behavior of the one dimensional, diffusive pair contact process
• Upper critical dimension of the KPZ equation
• Theory of Driven Nonequilibrium Critical Phenomena
• Self-Organized Supercriticality and Oscillations in Networks of Stochastic Spiking Neurons
• Scaling theory for spontaneous imbibition in random networks of elongated pores
• High-precision Monte Carlo study of directed percolation in (d+1) dimensions
• The phase transition to turbulence in spatially extended shear flows
• Monte-Carlo simulations of the clean and disordered contact process in three dimensions
• Self-optimization, community stability, and fluctuations in two individual-based models of biological coevolution
• Criticality in spreading processes without time-scale separation and the critical brain hypothesis
• Measurement-induced phases of matter require feedback
• Perspective on Reversible to Irreversible Transitions in Periodic Driven Many Body Systems and Future Directions For Classical and Quantum Systems
• Strong Griffiths singularities in random systems and their relation to extreme value statistics
• Reaction-limited quantum reaction-diffusion dynamics
• Critical behavior at de-pinning of a driven disordered vortex matter in 2H-NbS2
• Universal finite-size scaling amplitudes in anisotropic scaling
• Effect of spatial bias on the nonequilibrium phase transition in a system of coagulating and fragmenting particles
• Cyclically coupled spreading and pair annihilation
• Phenomenology of a First Order Dark State Phase Transition
• Diffusion-limited exciton-exciton annihilation in single-walled carbon nanotubes: A time-dependent analysis
• Critical behavior of entropy production and learning rate: Ising model with an oscillating field
• Superdiffusion, large-scale synchronization and topological defects
• Pair Contact Process with Diffusion: Failure of Master Equation Field Theory
• Mean-field limit of systems with multiplicative noise
• Non-equilibrium phase transitions in $(1+1)$-dimensional quantum cellular automata with controllable quantum correlations
• Transition to turbulence in shear flows
• Quasi-stationary simulation of the contact process
• Threshold of coexistence and critical behavior of a predator-prey cellular automaton
• Convex lattice polygons of fixed area with perimeter dependent weights
• Fluctuations and correlations in chemical reaction kinetics and population dynamics
• Binary spreading process with parity conservation
• Algebraic coarsening in voter models with intermediate states
• The partially asymmetric zero range process with quenched disorder
• Asymmetric Mutualism in Two- and Three-Dimensional Range Expansions
• On the decay of turbulence in plane Couette flow
• Imperfect Diffusion-Controlled Reactions
• Directed Percolation and Systems with Absorbing States: Impact of Boundaries
• Mixing times in evolutionary game dynamics
• Oscillations and dynamics in a two-dimensional prey-predator system
• Splitting the voter criticality
• Scaling behavior of the order parameter and its conjugated field in an absorbing phase transition around the upper critical dimension
• Measurement-induced phase transition in a classical, chaotic many-body system
• Nonequilibrium Phase Transitions in Epidemics and Sandpiles
• Phase transitions and non-equilibrium relaxation in kinetic models of opinion formation
• Effects of turbulent mixing on the nonequilibrium critical behaviour
• Transfer-matrix DMRG for stochastic models: The Domany-Kinzel cellular automaton
• Generic finite size scaling for discontinuous nonequilibrium phase transitions into absorbing states
• High-performance parallel computing in the classroom using the public goods game as an example
• Ballistic Annihilation
• Universal scaling behavior of directed percolation and the pair contact process in an external field
• Broadening of a nonequilibrium phase transition by extended structural defects
• Branching and annihilating Levy flights
• Absorbing phase transition with a continuously varying exponent in a quantum contact process: a neural network approach
• Critical behavior of the contact process in annealed scale-free networks
• Numerical Simulation of Critical Dissipative Non-Equilibrium Quantum Systems with an Absorbing State
• Mappings between reaction-diffusion and kinetically constrained systems: A+A <-> A and the FA model have upper critical dimension d_c=2
• Ageing in the critical contact process: a Monte Carlo study
• Infinite-noise criticality: Nonequilibrium phase transitions in fluctuating environments
• Epidemic processes with immunization
• Homogeneous symmetrical threshold model with nonconformity: independence vs. anticonformity
• Universal critical behavior of noisy coupled oscillators: A renormalization group study
• Quasi-stationary regime of a branching random walk in presence of an absorbing wall
• Spiral Model: a cellular automaton with a discontinuous glass transition
• Many-Body Open Quantum Systems
• Non-equilibrium absorbing state phase transitions in discrete-time quantum dynamics
• Multi-Scaling of the $n$-point density function for coalescing Brownian motions
• On the occurrence of oscillatory modulations in the power-law behavior of dynamic and kinetic processes in fractals
• Phase transition in a non-conserving driven diffusive system
• Universal short-time dynamics: boundary functional renormalization group for a temperature quench
• Information and motility exchange in collectives of active particles
• Criticality and correlated dynamics at the irreversibility transition in periodically driven colloidal suspensions
• Directed Percolation with long-range interactions: modeling non-equilibrium wetting
• On the relationship between directed percolation and the synchronization transition in spatially extended systems
• Universality of the contact process with random dilution
• Critical behavior of active Brownian particles: Connection to field theories
• Quasi-Neutral theory of epidemic outbreaks
• Spreading with immunization in high dimensions
• Time-Dependent Random Walks and the Theory of Complex Adaptive Systems
• Coupling between criticality and gelation in "sticky" spheres: A structural analysis
• Synchronization of extended chaotic systems with long-range interactions: an analogy to Levy-flight spreading of epidemics
• Continuously-variable survival exponent for random walks with movable partial reflectors
• Phase transition of a two dimensional binary spreading model
• Uncovering the non-equilibrium phase structure of an open quantum spin system
• Effects of turbulent mixing on critical behaviour in the presence of compressibility: Renormalization group analysis of two models
• Stochastic processes and conformal invariance
• Field theory of directed percolation with long-range spreading
• Universality in the pair contact process with diffusion
• Universal phenomenology at critical exceptional points of nonequilibrium $O(N)$ models
• Critical behavior of an even offspringed branching and annihilating random walk cellular automaton with spatial disorder
• Langevin equations for reaction-diffusion processes
• On the study of force-balance percolation
• From Turbulence to Landscapes: Universality of Logarithmic Mean Profiles in Bounded Complex Systems
• Opinion formation model for markets with a social temperature and fear
• Fractal aggregation of active particles
• Ecological Invasion, Roughened Fronts, and a Competitor's Extreme Advance: Integrating Stochastic Spatial-Growth Models
• The phase transition of the diffusive pair contact process revisited
• Driven Pair Contact Process with Diffusion
• Cusps, self-organization, and absorbing states
• Renormalization Group: Applications in Statistical Physics
• The perils of thresholding
• A simple sandpile model of active-absorbing state transitions
• Stochastic spatial models in ecology: a statistical physics approach
• Entropy production at criticality in a nonequilibrium Potts model
• Phase transition of the one-dimensional coagulation-production process
• Symmetry breaking by heating in a continuous opinion model
• Mobility, fitness collection, and the breakdown of cooperation
• Percolation-induced PT symmetry breaking
• Stochastic Desertification
• Long-range epidemic spreading with immunization
• Description of spreading dynamics by microscopic network models and macroscopic branching processes can differ due to coalescence
• Moment ratios for the pair contact process with diffusion
• From multiplicative noise to directed percolation in wetting transitions
• Epidemic dynamics in open quantum spin systems
• Creep and thermal rounding close to the elastic depinning threshold
• Universal and non-universal neural dynamics on small world connectomes: a finite size scaling analysis
• The elastic depinning transition of vortex lattices in two dimensions
• Local Persistence in the Directed Percolation Universality Class
• Phase transition classes in triplet and quadruplet reaction diffusion models
• Revisiting the critical behavior of nonequilibrium models in Short-time Monte Carlo Simulations
• Dyck Paths, Motzkin Paths and Traffic Jams
• Comment on "Non-Mean-Field Behavior of the Contact Process on Scale-Free Networks"
• Hyperuniformity of generalized random organization models
• Reaction-diffusion processes and non-perturbative renormalisation group
• Power laws and stretched exponentials in a noisy finite-time-singularity model
• Correlated percolation and tricriticality
• Bistability and time crystals in long-ranged directed percolation
• Reversible to Irreversible Transitions in Periodically Driven Skyrmion Systems
• Origin of scale-free intermittency in structural first-order phase transitions
• Crossover from Isotropic to Directed Percolation
• Three-state Potts model in combination with the rock-scissors-paper game
• Kovacs effect in facilitated spin models of strong and fragile glasses
• Aggregate formation in a system of coagulating and fragmenting particles with mass-dependent diffusion rates
• Stochastic Light-Cone CTMRG: a new DMRG approach to stochastic models
• Mean-field-like behavior of the generalized voter-model-class kinetic Ising model
• Control of cellular automata
• Generalized empty-interval method applied to a class of one-dimensional stochastic models
• Matrix product approach for the asymmetric random average process
• Universal scaling behavior of directed percolation around the upper critical dimension
• Long Range Hops and the Pair Annihilation Reaction A+A->0: Renormalization Group and Simulation
• Crystallization and melting of bacteria colonies and Brownian Bugs
• Self-organized criticality in a network of interacting neurons
• Efficient limited-time reachability estimation in temporal networks
• Synchronization Transition of Identical Phase Oscillators in a Directed Small-World Network
• Trajectory phase transitions and dynamical Lee-Yang zeros of the Glauber-Ising chain
• Phase Transition with Non-Thermodynamic States in Reversible Polymerization
• The 2-site Hubbard and t-J models
• Random fields at a nonequilibrium phase transition
• Ageing, dynamical scaling and its extensions in many-particle systems without detailed balance
• Dynamics of a first order transition to an absorbing state
• Range Expansion of Heterogeneous Populations
• Phase transitions in a lattice population model
• Crossover between mean-field and Ising critical behavior in a lattice-gas reaction-diffusion model
• Contact process on generalized Fibonacci chains: infinite-modulation criticality and double-log periodic oscillations
• Phase diagram of the symbiotic two-species contact process
• Multi-species pair annihilation reactions
• Three-fold way to extinction in populations of cyclically competing species
• Logarithmic Corrections in Directed Percolation
• Nonequilibrium phase transition in an open quantum spin system with long-range interaction
• A violation of the Harris-Barghathi-Vojta criterion
• Ageing in the contact process: Scaling behavior and universal features
• Stochastic population oscillations in spatial predator-prey models
• Effects of turbulent transfer on the critical behaviour
• Coexistence in a One-Dimensional Cyclic Dominance Process
• On the growth of laminar-turbulent patterns in plane Couette flow
• Phase transition in a triplet process
• Contact processes with long-range interactions
• A formula for crossing probabilities of critical systems inside polygons
• Ising-like critical behavior of vortex lattices in an active fluid
• Persistent dynamic correlations in self-organized critical systems away from their critical point
• Kibble-Zurek Mechanism for Nonequilibrium Phase Transitions in Driven Systems with Quenched Disorder
• Self-organized Criticality and Absorbing States: Lessons from the Ising Model
• Interactions and migration rescuing ecological diversity
• Timeliness criticality in complex systems
• Non-Perturbative Renormalization Group for the Diffusive Epidemic Process
• Contact process with temporal disorder
• Epidemic spreading with long-range infections and incubation times
• Dynamical properties of the synchronization transition
• The struggle for space: Viral extinction through competition for cells
• On logarithmic extensions of local scale-invariance
• A Monte Carlo investigation of the critical behavior of Stavskaya's probabilistic cellular automaton
• Complexity and anisotropy in host morphology make populations safer against epidemic outbreaks
• Statistical Physics Approaches to Seismicity
• Correlation function for generalized Pólya urns: Finite-size scaling analysis
• A comprehensive phase diagram for logistic populations in fluctuating environment
• Symmetry and species segregation in diffusion-limited pair annihilation
• Monte-Carlo simulations of the smeared phase transition in a contact process with extended defects
• Asymmetrically coupled directed percolation systems
• Sandpiles and absorbing-state phase transitions: recent results and open problems
• Directed percolation in non-unitary quantum cellular automata
• Strongly anisotropic non-equilibrium phase transition in Ising models with friction
• Entropy Production of Nonequilibrium Steady States with Irreversible Transitions
• Evidence of a critical phase transition in a purely temporal dynamics with long-delayed feedback
• Spatio-temporal generalization of the Harris criterion and its application to diffusive disorder
• Local persistence in directed percolation
• Crossover from the pair contact process with diffusion to directed percolation
• Bacterial range expansions on a growing front: Roughness, Fixation, and Directed Percolation
• On the study of jamming percolation
• The generalized contact process with n absorbing states
• Mean-field dynamics of open quantum systems with collective operator-valued rates: validity and application
• Pair contact process with a particle source
• Mean-field scaling function of the universality class of absorbing phase transitions with a conserved field
• The BFKL Pomeron Calculus in the dipole approach
• Risk and interaction aversion: screening mechanisms in the Prisoner's Dilemma game
• Quantum thermodynamics of boundary time-crystals
• Open quantum reaction-diffusion dynamics: absorbing states and relaxation
• Reaction processes among self-propelled particles
• Local scale invariance in the parity conserving nonequilibrium kinetic Ising model
• Stochastic cellular automaton for the coagulation-fission-process 2A->3A, 2A->A
• Kardar-Parisi-Zhang scaling in the Hubbard model
• Statistically consistent coarse-grained simulations for critical phenomena in complex networks
• Large deviations for metastable states of Markov processes with absorbing states with applications to population models in stable or randomly switching environment
• Dynamic scaling relation in quantum many-body systems
• Critical probabilities and convergence time of Percolation Probabilistic Cellular Automata
• Universality class of triad dynamics on a triangular lattice
• Dynamical phase coexistence: A simple solution to the "savanna problem"
• Scaling behavior of the directed percolation universality class
• Transfer learning of phase transitions in percolation and directed percolation
• Multicomponent binary spreading process
• Temporal disorder does not forbid discontinuous absorbing phase transitions in low dimensional systems
• Nontrivial critical crossover between directed percolation models: Effect of infinitely many absorbing states
• Phase transitions in nonequilibrium d-dimensional models with q absorbing states
• Interplay between an absorbing phase transition and synchronization in a driven granular system
• Jamming percolation and glassy dynamics
• Clogging, Dynamics and Reentrant Fluid for Active Matter on Periodic Substrates
• Controlled flow of excitations in a ring-shaped network of Rydberg atoms
• Large-scale universality in quantum reaction-diffusion from Keldysh field theory
• Spreading of families in cyclic predator-prey models
• Noise-induced absorbing phase transition in a model of opinion formation
• Absorbing transition in a coevolution model with node and link states in an adaptive network: Network fragmentation transition at criticality
• Nonequilibrium wetting of finite samples
• Chaotic synchronizations of spatially extended systems as non-equilibrium phase transitions
• Mapping multiplicative to additive noise
• Generalized contact process on random environments
• Critical branching-annihilating random walk of two species
• Some exact results in branching and annihilating random walks
• Universality class of the pair contact process with diffusion
• Anomalous Dimension in a Two-Species Reaction-Diffusion System
• Spiral model, jamming percolation and glass-jamming transitions
• Survival Probabilities of History-Dependent Random Walks
• Dynamics of tax evasion through an epidemic-like model
• Quantum reaction-limited reaction-diffusion dynamics of annihilation processes
• Generating function, path integral representation, and equivalence for stochastic exclusive particle systems
• Dynamic transition in deposition with a poisoning species
• Hard core particle exclusion effects in low dimensional non-equilibrium phase transitions
• High-precision Estimate of the Critical Exponents for the Directed Ising Universality Class
• Finite-size scaling of directed percolation above the upper critical dimension
• Finite-size scaling for discontinuous nonequilibrium phase transitions
• Is local scale invariance a generic property of ageing phenomena ?
• Subcritical turbulence spreading and avalanche birth
• Theoretical approaches to the steady-state statistical physics of interacting dissipative units
• Crossover scaling in the Domany-Kinzel cellular automaton
• Identification of criticality in neuronal avalanches: II. A theoretical and empirical investigation of the driven case
• Landau Theory for Non-Equilibrium Steady States
• Dynamical Crossover in a Stochastic Model of Cell Fate Decision
• Cluster mean-field approximations with the coherent-anomaly-method analysis for the driven pair contact process with diffusion
• Nonequilibrium phase transition in the sedimentation of reproducing particles
• Absorbing phase transitions in systems with mediated interactions
• Multicritical behavior of the diluted contact process
• Emergence of pulled fronts in fermionic microscopic particle models
• Dynamical mean-field approximation for pair contact process with a particle source
• Statistical-mechanics approach to a reinforcement learning model with memory
• Field theory of self-organized fractal etching
• Softening and residual loss modulus of jammed grains under oscillatory shear in an absorbing state
• Multi-Scaling of Correlation Functions in Single Species Reaction-Diffusion Systems
• Quantum and classical temporal correlations in $(1+1)D$ Quantum Cellular Automata
• An extinction-survival-type phase transition in the probabilistic cellular automaton p182-q200
• Violation of Detailed Balance in Quantum Open Systems
• Revisiting the nonequilibrium phase transition of the triplet-creation model
• Directed Percolation in Temporal Networks
• Characteristics of Deterministic and Stochastic Sandpile Models in a Rotational Sandpile Model
• Birth, death and diffusion of interacting particles
• Anomalous Roughness, Localization, and Globally Constrained Random Walks
• Sticky grains do not change the universality class of isotropic sandpiles
• Modeling the evolution of drinking behavior: A Statistical Physics perspective
• Development and regression of a large fluctuation
• Fame Emerges as a Result of Small Memory
• A particle system with cooperative branching and coalescence
• Field-theoretic analysis of directed percolation: Three-loop approximation
• Phase diagram of a probabilistic cellular automaton with three-site interactions
• The role of diffusion in branching and annihilation random walk models
• Correlation lengths in the language of computable information
• An alternative method to characterize first- and second-order phase transitions in surface reaction models
• Critical behavior of the SIS epidemic model with time-dependent infection rate
• An Operational Definition of Topological Order
• Segregation in diffusion-limited multispecies pair annihilation
• Random Sequential Renormalization of Networks I: Application to Critical Trees
• The contact process in heterogeneous and weakly-disordered systems
• Directed Percolation in Random Temporal Network Models with Heterogeneities
• Entanglement and absorbing state transitions in $(d+1)$-dimensional stabilizer circuits
• Nonlinear random resistor diode networks and fractal dimensions of directed percolation clusters
• Finite-size scaling analysis of binary stochastic processes and universality classes of information cascade phase transition
• Extinction transitions in correlated external noise
• Rare regions and Griffiths singularities at a clean critical point: The five-dimensional disordered contact process
• Absorbing phase transition in a conserved lattice gas with random neighbor particle hopping
• Universality classes of absorbing phase transitions in generic branching-annihilating particle systems
• Dynamic Phase Transition in the Contact Process with Spatial Disorder: Griffths Phase and Complex Persistence Exponents
• Construction of a matrix product stationary state from solutions of finite size system
• Exact solution of the totally asymmetric Oslo model
• Network Renormalization
• Boundary-induced nonequilibrium phase transition into an absorbing state
• Stable Symmetry-Protected Topological Phases in Systems with Heralded Noise
• Yielding is an absorbing phase transition with vanishing critical fluctuations
• Absorbing-state phase transitions on percolating lattices
• Using (1 + 1)D Quantum Cellular Automata for Exploring Collective Effects in Large Scale Quantum Neural Networks
• Scaling Behavior of Threshold Epidemics
• Coupled dynamical phase transitions in driven disk packings
• Spatial population genetics with fluid flow
• Numerical Simulation of Critical Quantum Dynamics without Finite Size Effects
• Nonequilibrium Phase Transitions into Absorbing States: Focused around the pair contact process with diffusion
• Anomalous Behavior of the Contact Process with Aging
• Two-level modeling of quarantine
• Lane formation in a lattice model for oppositely driven binary particles
• Unveiling the ZGB model with $CO$ desorption: a single model with two universality classes?
• Dynamical universality of the contact process
• Finite-size scaling of directed percolation in the steady state
• Fisher Waves and Front Roughening in a Two-Species Invasion Model with Preemptive Competition
• Invasive advance of an advantageous mutation: nucleation theory
• Conditional probabilities in multiplicative noise processes
• Driving Driven Lattice Gases to Identify Their Universality Classes
• Multifractal current distribution in random diode networks
• Static approach to renormalization group analysis of stochastic models with spatially quenched disorder
• Phase transition and fast agreement in Naming Game with preference for multi-word agents
• Effects of Turbulent Environment and Random Noise on Self-Organized Critical Behavior: Universality vs Nonuniversality
• Non-Analytic Non-Equilibrium Field Theory: Stochastic Reheating of the Ising Model
• Population Extinction on a Random Fitness Seascape
• Statistical mechanics model of angiogenic tumor growth
• Coverage Fluctuations and Correlations in Nanoparticle-Catalyzed Diffusion-Influenced Bimolecular Reactions
• On the absorbing-state phase transition in the one-dimensional triplet creation model
• Three different routes from the directed Ising to the directed percolation class
• Fluctuation Ratios in the Absence of Microscopic Time Reversibility
• Signatures of a quantum stabilized fluctuating phase and critical dynamics in a kinetically-constrained open many-body system with two absorbing states
• Phase transition between synchronous and asynchronous updating algorithms
• Phase transition to turbulence via moving fronts
• Extinction phase transitions in a model of ecological and evolutionary dynamics
• Scaling of hysteresis loops at phase transitions into a quasiabsorbing state
• Spatial-temporal analysis of neural desynchronization in sleep-like states reveals critical dynamics
• Avalanche Behavior in an Absorbing State Oslo Model
• Finite-size scaling in the steady state of the fully asymmetric exclusion process
• Directed percolation with incubation times
• Effect of overlap on spreading dynamics on multiplex networks
• Probing into the effectiveness of self-isolation policies in epidemic control
• Discontinuous phase transition in an open-ended Naming Game
• Machine Learning of Nonequilibrium Phase Transition in an Ising Model on Square Lattice
• Percolation properties of the neutron population in nuclear reactors
• Coexistence and critical behaviour in a lattice model of competing species
• Constrained Dynamics and Directed Percolation
• Curvature-driven growth and interfacial noise in the voter model with self-induced zealots
• Self-Organized Criticality as Witten-type Topological Field Theory with Spontaneously Broken Becchi-Rouet-Stora-Tyutin Symmetry
• Nonlinear $q$-voter model from the quenched perspective
• Continuously varying exponents in $A+B\to 0$ reaction with long-ranged attractive interaction
• Ergodicity breaking transition in a glassy soft sphere system at small but non-zero temperatures
• Atomic loss and gain as a resource for non-equilibrium phase transitions in optical lattices
• Field-theoretic methods
• Equivalence of conditional and external field ensembles in absorbing state phase transitions
• Change in Order of Phase Transitions on Fractal Lattices
• Statistical physics of cerebral embolization leading to stroke
• Nonlinearly driven transverse synchronization in coupled chaotic systems
• Dynamic Screening in a Two-Species Asymmetric Exclusion Process
• The role of symmetry in the short-time critical dymamics
• Logarithmic Corrections in Dynamic Isotropic Percolation
• Scaling Exponents of Rough Surfaces Generated by the Domany-Kinzel Cellular Automaton
• Synchronization in coupled map lattices as an interface depinning
• Critical behavior of the two dimensional 2A->3A, 4A->0 binary system
• Crossovers from parity conserving to directed percolation universality
• Evolutionary Games on Networks: Phase Transition, Quasi-equilibrium, and Mathematical Principles
• Noise driven dynamic phase transition in a a one dimensional Ising-like model
• Phase transitions of the binary production 2A->3A, 4A->0 model
• Low-density series expansions for directed percolation IV. Temporal disorder
• Subdiffusive Activity Spreading in the Diffusive Epidemic Process
• Quasi-stationary distributions for the Domany-Kinzel stochastic cellular automaton
• Survival of the Scarcer in Space
• Logarithmic correlators or responses in non-relativistic analogues of conformal invariance
• Criticality of natural absorbing states
• Directional Clogging and Phase Separation for Disk Flow Through Periodic and Diluted Obstacle Arrays
• Stochastic Loewner Evolution Relates Anomalous Diffusion and Anisotropic Percolation
• Nonequilibrium phase transition in a spreading process on a timeline
• Slow Crossover to Kardar-Parisi-Zhang Scaling
• Critical Fitness Collapse in Three-Dimensional Spatial Population Genetics
• Renyi entropy of the totally asymmetric exclusion process
• Stirred Kardar-Parisi-Zhang equation with quenched random noise: Emergence of induced nonlinearity
• Aging Logarithmic Conformal Field Theory : a holographic view
• On conjectured local generalizations of anisotropic scale invariance and their implications
• Criticality and oscillatory behavior in non-Markovian Contact Process
• Absence of the discontinuous transition in the one-dimensional triplet creation model
• Characterizing the Nature of the Yielding Transition
• The Magnetic Eden Model
• Balanced-imbalanced transitions in indirect reciprocity dynamics on networks
• Novel exponents control the quasi-deterministic limit of the extinction transition
• Reversible to Irreversible Transitions for Cyclically Driven Disks on Periodic Obstacle Arrays
• Generalized contact process with two symmetric absorbing states in two dimensions
• The Diffusive Epidemic Process on Barabasi-Albert Networks
• Transitional channel flow: A minimal stochastic model
• Cluster mean-field study of the parity conserving phase transition
• Breakdown of Universality in Directed Spiral Percolation
• Agreement dynamics on directed random graphs
• Streamwise decay of localized states in channel flow
• Role of inflexible minorities in the evolution of alcohol consumption
• Asymptotic behavior of the order parameter in a stochastic sandpile
• Mean-field approximations for the restricted solid-on-solid growth models
• Path-integral representation for a stochastic sandpile
• Tricritical directed percolation with long-range interaction in one and two dimensions
• Comparing the influence of distinct kinds of temporal disorder in a low dimensional absorbing transition model
• Multifractality in directed percolation
• Non equilibrium phase transition with gravitational-like interaction in a cloud of cold atoms
• Lane formation and critical coarsening in a model of bacterial competition
• Is directed percolation in colloid-polymer mixtures linked to dynamic arrest?
• Anomalous Collective Dynamics of Auto-Chemotactic Populations
• Asynchronism and nonequilibrium phase transitions in $(1+1)$D quantum cellular automata
• Viscoelastic Interfaces Driven in Disordered Media and Applications to Friction
• Contact process with mobile disorder
• Deterministic and stochastic aspects of the transition to turbulence
• Theory of deflagration in disordered media
• Static critical behavior in the inactive phase of the pair contact process
• The universal behavior of one-dimensional, multi-species branching and annihilating random walks with exclusion
• Emergence of order from chaos through a continuous phase transition in a turbulent reactive flow system
• General Reaction-Diffusion Processes With Separable Equations for Correlation Functions
• Mass-Transport Models with Fragmentation and Aggregation
• A simple mechanism leading to first-order phase transitions in a model of tax evasion
• Numerical analysis of the rebellious voter model
• Long-Range and Many-Body Effects in Coagulation Processes
• Directed percolation criticality due to Stochastic switching between Inhibitory and Excitatory Coupling in Coupled Circle maps
• Colored Percolation
• A field-theoretic approach to the Wiener Sausage
• Controlling excitation avalanches in driven Rydberg gases
• Multifractal properties of resistor diode percolation
• Analysis of the earlier times and flux of the entropy on the majority voter model with difusion
• Background Field Functional Renormalization Group for Absorbing State Phase Transitions
• Physics of Psychophysics: two coupled square lattices of spiking neurons have huge dynamic range at criticality
• Directed percolation process in the presence of velocity fluctuations: Effect of compressibility and finite correlation time
• On directed interacting animals and directed percolation
• Mean-field criticality explained by random matrices theory
• Contact processes in crowded environments
• Logarithmic roughening in a growth process with edge evaporation
• Three is much more than two in coarsening dynamics of cyclic competitions
• Study of the multi-species annihilating random walk transition at zero branching rate - cluster scaling behavior in a spin model
• Field theories and quantum methods for stochastic reaction-diffusion systems
• Principal component analysis of absorbing state phase transitions
• Pattern selection and the route to turbulence in incompressible polar active fluids
• Order-disorder transition in a model with two symmetric absorbing states
• Epidemics in Networks of Spatially Correlated Three-dimensional Root Branching Structures
• Quantum reaction-limited reaction-diffusion dynamics of noninteracting Bose gases
• Host--parasite models on graphs
• The mechanics of anisotropic spring networks
• Renormalization group analysis of a self-organized critical system: Intrinsic anisotropy vs random environment
• A universal crossover in quantum circuits governed by a proximate classical error correction transition
• Lennard--Jones and Lattice Models of Driven Fluids
• Critical drift in a neuro-inspired adaptive network
• Absorbing phase transition from a structured active particle phase
• Approximate probabilistic cellular automata for the dynamics of single-species populations under discrete logisticlike growth with and without weak Allee effects
• Crossover behaviors in branching annihilating attracting walk
• Dynamic Phase Transition in Prisoner's Dilemma on a Lattice with Stochastic Modifications
• Monte Carlo simulations of bosonic reaction-diffusion systems and comparison to Langevin equation description
• Branching annihilating random walks with long-range attraction in one dimension
• Nonequilibrium wetting
• Quantifying Structural Dynamic Heterogeneity in a Dense Two-dimensional Equilibrium Liquid
• Universal features of exit probability in opinion dynamics models with domain size dependent dynamics
• Depinning in the quenched Kardar-Parisi-Zhang class I: Mappings, simulations and algorithm
• Random field disorder at an absorbing state transition in one and two dimensions
• The Kibble-Zurek Scenario and Coarsening Across Nonequilibrium Phase Transitions in Driven Vortices and Skyrmions
• Out of equilibrium stationary states, percolation, and sub-critical instabilities in a fully non conservative system
• Dynamical phase transitions in one-dimensional hard-particle systems
• Totally Asymmetric Exclusion Process with Hierarchical Long-Range Connections
• Fragmentation of a sheet by propagating, branching and merging cracks
• Dynamic Phase Transition from Localized to Spatiotemporal Chaos in Coupled Circle Map with Feedback
• Phase transitions of the generalized contact process with two absorbing states
• The inactive-active phase transition in the noisy additive (exclusive-or) probabilistic cellular automaton
• Active-to-absorbing-state phase transition in an evolving population with mutation
• Study of universality crossover in the contact process
• Nontrapping arrest of Langmuir wave damping near the threshold amplitude
• Statistics of sums of correlated variables described by a matrix product ansatz
• Critical behavior of the diffusive susceptible-infected-recovered model
• Dynamical and structural properties of an absorbing phase transition: a case study from granular systems
• Laplacian Renormalization Group: An introduction to heterogeneous coarse-graining
• Equivalence of operator-splitting schemes for the integration of the Langevin equation
• Active-to-absorbing state phase transition in the presence of fluctuating environments: Weak and strong dynamic scaling
• Percolation in Media with Columnar Disorder
• Can the Ising critical behavior survive in non-equilibrium synchronous cellular automata?
• The advantage of being slow: the quasi-neutral contact process
• Ac dynamic reorganization and non-equilibrium phase transition in driven vortex matter
• State dependent diffusion in a bistable potential: conditional probabilities and escape rates
• Absorbing-state phase transitions: exact solutions of small systems
• Synchronization of spatio-temporal chaos as an absorbing phase transition: a study in 2+1 dimensions
• Single-site approximation for reaction-diffusion processes
• Susceptible-infected-susceptible model on networks with eigenvector localization
• The Pitman-Yor process and an empirical study of choice behavior
• Numerical calculation of scaling exponents of percolation process in the framework of renormalization group approach
• Critical dynamics of the jamming transition in one-dimensional nonequilibrium lattice-gas models
• Phase transitions and order in two-dimensional generalized nonlinear $\sigma$-models
• Creep dynamics of viscoelastic interfaces
• Hidden percolation transition in kinetic replication process
• The thermal jamming transition of soft harmonic disks in two dimensions
• Noise spectra in the reversible-irreversible transition in amorphous solids under oscillatory driving
• Altruism in populations at the extinction transition
• A class of exactly solved assisted hopping models of active-absorbing state transitions on a line
• Critical Behavior of Percolation Process Influenced by Random Velocity Field: One-Loop Approximation
• Axelrod's Model with Surface Tension
• Revisiting Absorbing Phase Transition in Energy Exchange Models
• A coupled two-species model for the pair contact process with diffusion
• First order phase transition with a logarithmic singularity in a model with absorbing states
• Shape of population interfaces as an indicator of mutational instability in coexisting cell populations
• Renormalization of cellular automata and self-similarity
• Critical properties of the Susceptible-Exposed-Infected model with correlated temporal disorder
• Active Phases for Particles on Resource Landscapes
• A traveling wave bifurcation analysis of turbulent pipe flow
• Crossover from rotational to stochastic sandpile universality in the random rotational sandpile model
• Clusters in an epidemic model with long-range dispersal
• Anchored advected interfaces, Oslo model, and roughness at depinning
• Free fermions under adaptive quantum dynamics
• Tricritical behavior in epidemic dynamics with vaccination
• Probability distribution of the order parameter in the directed percolation universality class
• Consensus formation and relative stimulus perception in quality-sensitive, interdependent agent systems
• Statistical Mechanics of Stochastic Quantum Control: $d$-adic Rényi Circuits
• Numerical study of a model for non-equilibrium wetting
• Stability of vacuum in coupled directed percolation processes
• Oscillating-mode gap: an indicator of phase transition in open quantum many-body systems
• Critical behavior of an epidemic model of drug resistant diseases
• Population Dynamics of Schrödinger Cats
• Self-sustained patchy turbulence in shear-thinning active fluids
• Reaction-controlled diffusion: Monte Carlo simulations
• Series expansion for a stochastic sandpile
• Mean-field solution of the parity-conserving kinetic phase transition in one dimension
• Strange Attractors in Complex Networks
• Dynamics-dependent criticality in models with q absorbing states
• Minority spin dynamics in non-homogeneous Ising model: diverging timescales and exponents
• Renormalized field theory of resistor diode percolation
• Discontinuous Transition in a Boundary Driven Contact Process
• Size-dependent transient nature of localized turbulence in transitional channel flow
• Universal function of the non-equilibrium phase transition of nonlinear Pólya urn
• Maintenance of order in a moving strong condensate
• Extraordinary Sex Ratios: Cultural Effects on Ecological Consequences
• The role of multiplicative noise in critical dynamics
• One-dimensional Nonequilibrium Kinetic Ising Models with local spin-symmetry breaking: N-component branching annihilation transition at zero branching rate
• Percolation in Networks of Liquid Diodes
• Tuning spreading and avalanche-size exponents in directed percolation with modified activation probabilities
• Spatial growth processes with long range dispersion: microscopics, mesoscopics, and discrepancy in spread rate
• One-dimensional spin-anisotropic kinetic Ising model subject to quenched disorder
• Novel ballistic to diffusive crossover in the dynamics of a one dimensional Ising model with variable range of interaction
• Exploring Percolative Landscapes: Infinite Cascades of Geometric Phase Transitions
• Demographic fluctuations in a population of anomalously diffusing individuals
• Directed percolation with a single defect site
• Barrier-Controlled Non-Equilibrium Criticality in Reactive Particle Systems
• Memory-induced long-range order in dynamical systems
• Scaling of causal neural avalanches in a neutral model
• Machine learning stochastic differential equations for the evolution of order parameters of classical many-body systems in and out of equilibrium
• Two-Loop Turbulent Helical Magnetohydrodynamics: Large-Scale Dynamo and Energy Spectrum
• Fluctuations and symmetries in two-dimensional active gels
• Universality at the onset of turbulence in shear flows
• Spatial stochastic predator-prey models
• Thermally activated intermittent flow in amorphous solids
• Critical behavior in lattice models with two symmetric absorbing state
• Continuum Percolation and Stochastic Epidemic Models on Poisson and Ginibre Point Processes
• Aging Logarithmic Galilean Field Theories
• Unravelling the puzzling intermediate states in the Biham-Middleton-Levine traffic mode
• Critical behaviour of a tumor growth model - Directed Percolation with a mean-field flavour
• A probabilistic cellular automata model for the dynamics of a population driven by logistic growth and weak Allee effect
• Topological transition in a coupled dynamic in random networks
• Simplest nonequilibrium phase transition into an absorbing state
• Absorbing State Phase Transition with Clifford Circuits
• Absorbing Phase Transition in a Four State Predator Prey Model in One Dimension
• Identifying universality classes of absorbing phase transitions by block renormalization
• Renormalized field theory of collapsing directed randomly branched polymers
• Critical Study on the Absorbing Phase Transition in a Four-State Predator-Prey Model in One Dimension
• Nonuniversal exponents in sandpiles with stochastic particle number transfer
• A New (aleph) Stochastic Quenched Disorder Model for Interaction of Network- Master node
• Absorbing-state phase transitions with extremal dynamics
• Universal Scaling Laws of Absorbing Phase Transitions in Artificial Deep Neural Networks
• Dynamics of fluctuations in the Gaussian model with conserved dynamics
• The role of noise and advection in absorbing state phase transitions
• Purification Dynamics in a Continuous-time Hybrid Quantum Circuit Model
• Reaction-diffusion on the fully-connected lattice: $A+A\to A$
• A precise approximation for directed percolation in d=1+1
• Discrete Eulerian model for population genetics and dynamics under flow
• Self-organised criticality in stochastic sandpiles: Connection to directed percolation
• The diffusive pair contact process and non-equilibrium wetting
• Soft quantum vibrations of PT-symmetric nonlinear ion chain
• Solvable multi-species reaction-diffusion processes, including the extended drop-push model
• Emergent universal long-range structure in random-organizing systems
• Reaction-diffusion dynamics in a Fibonacci chain: Interplay between classical and quantum behavior
• Crossover from directed percolation to mean field behavior in the diffusive contact process
• Revisiting the one-dimensional diffusive contact process
• Generalized scaling relations for unidirectionally coupled nonequilibrium systems
• Slow dynamics in a driven two-lane particle system
• Fast algorithm for topologically disordered lattices with constant coordination number
• Evidence of Non-Equilibrium Critical Phenomena in a Simple Model of Traffic
• Phase diagram and universal scaling regimes of two-dimensional exciton-polariton Bose-Einstein condensates
• Effects of diffusion in competitive contact processes on bipartite lattices
• Concomitant Entanglement and Control Criticality Driven by Collective Measurements
• Giant density fluctuations in locally hyperuniform states
• Aging processes in reversible reaction-diffusion systems
• Dynamics of drug trafficking: Results from a simple compartmental model
• Stabilizing Non-Abelian Topological Order against Heralded Noise via Local Lindbladian Dynamics
• Absorbing State Phase Transition in presence of Conserved Continuous Local Field
• Restricted Exclusion Processes without Particle Conservation Flows to Directed Percolation
• Distance traveled by random walkers before absorption in a random medium
• Non-negativity preserving numerical algorithms for stochastic differential equations
• Nonequilibrium critical behavior of a species coexistence model
• Stochastic quorum percolation and noise focusing in neuronal networks
• The time interpretation of expected utility theory
• Active to absorbing state phase transition in the presence of a fluctuating environment: Feedback and universality
• Theory of Critical Phenomena with Long-Range Temporal Interaction
• Large-scale spatio-temporal patterns in a ring of non-locally coupled oscillators with a repulsive coupling
• Quenched disorder in the contact process on bipartite sublattices
• Absorbing phase transitions in a non-conserving sandpile model
• Extinction of Epidemics in Lattice Models with Quenched Disorder
• Fixation properties of subdivided populations with balancing selection
• Assortative clustering in a one-dimensional population with replication strategies
• Novel criticality in a model with absorbing states
• Multi-species extension of the solvable partially asymmetric reaction- diffusion processes
• Chase-Escape Percolation on the 2D Square Lattice
• Space Representation of Stochastic Processes with Delay
• Aging and stationary properties of non-equilibrium symmetrical three-state models
• The phase transition of triplet reaction-diffusion models
• Absorbing state phase transitions with a non-accessible vacuum
• A new class of cellular automata with a discontinuous transition
• Pattern Formation and Flocking for Particles Near the Jamming Transition on Resource Gradient Substrates
• Theory and Experiments for Disordered Elastic Manifolds, Depinning, Avalanches, and Sandpiles
• Many universality classes in an interface model restricted to non-negative heights
• Directed percolation effects emerging from superadditivity of quantum networks
• Stochastic analysis of chemical reactions in multi-component interacting systems at criticality
• Generating Function for Particle-Number Probability Distribution in Directed Percolation
• Absorbing boundaries in the conserved Manna model
• Jamming transition in kinetically constrained models with reflection symmetry
• Initial perturbations dependence of non-equilibrium continuous and discontinuous pattern transition
• Order-parameter critical exponent of absorbing phase transitions in one-dimensional systems with two symmetric absorbing states
• Ageing in homogeneous systems at criticality
• Uniform threshold for fixation of the stochastic sandpile model on the line
• Learning phase transitions by siamese neural network
• Kinetics of Quantum Reaction-Diffusion systems
• Emergence of strongly connected giant components in continuum disk-spin percolation
• Damage Spreading in a Driven Lattice Gas Model
• Relevance of Abelian Symmetry and Stochasticity in Directed Sandpiles
• Absorbing state phase transitions beyond directed percolation in dissipative quantum state preparation
• Directed negative-weight percolation
• Reaction-diffusion dynamics of the weakly dissipative Fermi gas
• Exact Results in Stochastic Processes with Division, Death, and Diffusion: Spatial Correlations, Marginal Entropy Production, and Macroscopic Currents
• Universal crossing probability in anisotropic systems
• Competition between homogeneous and local processes in a diffusive many-body system
• Contact process with simultaneous spatial and temporal disorder
• The glass transition in a nutshell: a source of inspiration to describe the subcritical transition to turbulence
• How do life, economy and other complex systems escape the heat death?
• Numerical study of a three-state host-parasite system on the square lattice
• The universality class of the transition to turbulence
• Charge order in an interacting monolayer under transverse bias
• Reaction-diffusion with a time-dependent reaction rate: the single-species diffusion-annihilation process
• A new class of models for surface relaxation with exact mean-field solutions
• Corrections to reaction-diffusion dynamics above the upper critical dimension
• Collective Helping and Bystander Effects in Coevolving Helping Networks
• A Seascape Origin of Richards Growth
• Coarsening of Disordered Quantum Rotors under a Bias Voltage
• Imaging the effect of drive on the low-field vortex melting phenomenon in Ba0.6K0.4Fe2As2 single crystal
• Influence of turbulent mixing on critical behavior of directed percolation process : effect of compressibility
• Epidemic oscillations induced by social network control: the discontinuous case
• Janus Percolation in Anisotropic Limited-Degree Networks
• Contact process with aperiodic temporal disorder
• Survival probabilities in time-dependent random walks
• Universal amplitudes ratios for critical aging via functional renormalization group
• Nonequilibrium phase transitions in a racism-spreading model with interaction-driven dynamics
• Front propagation and effect of memory in stochastic desertification models with an absorbing state
• Passive advection of percolation process: Two-loop approximation
• Dynamic critical properties of non-equilibrium Potts models with absorbing states
• Multi-critical absorbing phase transition in a class of exactly solvable models
• Double transitions, non-Ising criticality and critical absorbing phase in an interacting monomer-dimer model on a square lattice:
• Structure and dynamics in the low-density phase of a two-dimensional cellular automaton model of traffic flow
• Scaling properties of a ferromagnetic thin film model at the depinning transition
• Crossover from Jamming to Clogging Behaviors in Heterogeneous Environments
• Coalescing Cellular Automata
• Information cascade on networks and phase transitions
• A tape-peeling model for spatiotemporal pattern formation by deformed adhesives
• Pólya urn with memory kernel and asymptotic behaviours of autocorrelation function
• Effect of Field Direction and Field Intensity on Directed Spiral Percolation
• Equal-time correlation function for directed percolation
• Breakdown of the Finite-Time and -Population Scalings of the Large Deviation Function in the Large-Size Limit of a Contact Process
• Contact Process on Weighted Planar Stochastic Lattice
• Unbounded autocatalytic growth on diffusive substrate: the extinction transition
• Finite size effects in nonequilibrium wetting
• Active-absorbing phase transition and small world behaviour in Ising model on finite addition type networks in two dimensions
• Physical meaning of principal component analysis for classical lattice systems with translational invariance
• Agent-based Monte Carlo simulations for reaction-diffusion models, population dynamics, and epidemic spreading
• Quasi-stationary states in nonlocal stochastic growth models with infinitely many absorbing states
• Computational Human Dynamics
• Modelling competition for space: Emergent inefficiency and inequality due to spatial self-organization among a group of crowd-avoiding agents
• Finite-time blow-up of a non-local stochastic parabolic problem
• Nonequilibrium Phase Transition in a 2D Ferromagnetic Spins with Effective Interactions
• Chemical etching of a disordered solid: from experiments to field theory
• Pinning-depinning transitions in two classes of discrete elastic-string models in (2+1)-dimensions
• A cascade model for the discontinuous absorbing phase transition between turbulent and laminar flows
• Nonequilibrium Critical Scaling of a Squeezing Phase Transition
• Multi-chain models of Conserved Lattice Gas
• Universality classes and crossover behaviors in non-Abelian directed sandpiles
• A comparative study for the pair-creation contact process using series expansions
• Nonequilibrium dark space phase transition
• Effects of lattice dilution on the non-equilibrium phase transition in the stochastic Susceptible-Infectious-Recovered model
• A Simple XY Model for Cascade Transfer
• Absorbing phase transitions with memory in critical scaling
• Exact solvability and asymptotic aspects of generalized XX0 spin chains
• Damage spreading in two dimensional geometrically frustrated lattices: the triangular and kagome anistropic Heisenberg model
• Stochastic spreading processes on a network model based on regular graphs
• Wave front propagation in the Active Coagulation Model
• Branching structure of genealogies in spatially growing populations and its implications for population genetics inference
• Higher-order contagion processes in 3.99 dimensions
• Bootstrapping Nonequilibrium Stochastic Processes
• Hierarchy of percolation patterns in a kinetic replication model
• Coalescing Cellular Automata -- Synchronizing CA by Common Random Source and Varying Asynchronicity
• Critical and quasicritical behavior in a three-species dynamical model of semi-directed percolation
• Error detection without post-selection in adaptive quantum circuits
• Skeleton of isometric Tensor Network States for Abelian String-Net Models
• Measurement-and Feedback-Driven Non-Equilibrium Phase Transitions on a Quantum Processor
• Scale-invariant universal crossing probability in one-dimensional diffusion-limited coalescence
• Reconnection-driven State Transitions in Flat Spectrum Radio Quasars
• Effects of spatial environmental noise on evolution of cooperation
• Yielding versus random organization: convex absorbing transitions in soft matter
• Dynamics of fluctuations in the Gaussian model with dissipative Langevin Dynamics
• Crossover from dynamical percolation class to directed percolation class on a two dimensional lattice
• Restoration Ecology: Two-Sex Dynamics and Cost Minimization
• Machine learning analysis of dimensional reduction conjecture for nonequilibrium Berezinskii-Kosterlitz-Thouless transition in three dimensions
• Constraint relaxation leads to jamming
• Generalized Smoluchowski equation with correlation between clusters
• Network location and clustering of genetic mutations determine chronicity in a stylized model of genetic diseases
• Optimal Turbulent Transport in Microswimmer Suspensions
• Transport properties of directed percolation clusters at the upper critical dimension
• Suppression of discontinuous phase transitions by particle diffusion
• Exact four-point function and OPE for an interacting quantum field theory with space/time anisotropic scale invariance
• Branching annihilating random walk with long-range repulsion: logarithmic scaling, reentrant phase transitions, and crossover behaviors
• Computational modelling of evolution: ecosystems and language
• Computer-assisted proof of ergodicity breaking in expanding coupled maps
• Two-stage coarsening mechanism in a kinetically constrained model of an attractive colloid
• Generalised Gibbs Ensemble for spherically constrained harmonic models
• Scaling behavior in interacting systems: joint effect of anisotropy and compressibility
• Local vs. long-range infection in unidimensional epidemics
• Allee Effects and Extinction in a Lattice Model
• How to experimentally probe universal features of absorbing phase transitions using steady state
• Relevance of topological disorder on the directed percolation phase transition
• A supercritical series analysis for the generalized contact process with diffusion
• Anomalous finite-size scaling in higher-order processes with absorbing states
• Two-species diffusion-annihilation process on the fully-connected lattice: probability distributions and extreme value statistics
• New topologies in the fundamental diagram of a one dimensional traffic flow
• First order phase transition in a modified Ziff-Gulari-Barshad model with self-oscillating reactant coverages
• Supercritical series expansion for the contact process in heterogeneous and disordered environments
• Dynamical mechanism behind ghosts unveiled in a map complexification
• The contact process in disordered and periodic binary two-dimensional lattices
• Generalised oriented site percolation