Dynamical and structural properties of an absorbing phase transition: a case study from granular systems
arXiv:2507.06083 · doi:10.1088/1742-5468/ae23bc
Abstract
We investigate the dynamical and structural properties of absorbing phase transitions (APTs) within granular systems. Specifically, we examine a model for vibrofluidized systems of spherical grains, which undergo a transition from a state of purely vertical motion to one characterized by horizontal diffusion as the density increases. Numerical simulations reveal that, depending on the specific system parameters, both continuous and discontinuous transitions can occur, each associated with markedly distinct structural properties at the transition point. We explain this using a theoretical analysis based on kinetic theory applied to an effective 2D model, which elucidates the role of a synchronization effect in determining the nature of the transition. A fluctuating hydrodynamic theory, which quantitatively describes the structural and dynamical properties of the active state such as hyperuniformity is derived from the microscopic dynamics, together with an equilibrium-like assumption concerning the noises on the hydrodynamic fields. This work expands on previous studies by providing a comprehensive examination of the APT characteristics and proposing new theoretical models to interpret the observed behaviors.
References in corpus (116)
- Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States
- Hydrodynamic fluctuations and instabilities in ordered suspensions of self-propelled particles
- Universality classes in nonequilibrium lattice systems
- Hyperuniform States of Matter
- Modelling transmission and control of the COVID-19 pandemic in Australia
- Pressure and Phase Equilibria in Interacting Active Brownian Spheres
- Jamming transition in emulsions and granular materials
- Nonlinear fluctuating hydrodynamics for anharmonic chains
- Universal scaling behavior of non-equilibrium phase transitions
- Directed percolation criticality in turbulent liquid crystals
- Rare Events Statistics in Reaction--Diffusion Systems
- Hyperuniformity of critical absorbing states
- Diffusion in a potential landscape with stochastic resetting
- The universality class of absorbing phase transitions with a conserved field
- The yielding transition in amorphous solids under oscillatory shear deformation
- Oscillatory athermal quasi-static deformation of a model glass
- Crystallization of a quasi-two-dimensional granular fluid
- Onset of Irreversibility and Chaos in Amorphous Solids Under Periodic Shear
- Hyperuniformity and its Generalizations
- Generalized thermodynamics of Motility-Induced Phase Separation: Phase equilibria, Laplace pressure, and change of ensembles
- Mechanical and microscopic properties of the reversible plastic regime in a 2D jammed material
- WKB theory of large deviations in stochastic populations
- Randomly Driven Granular Fluids: large scale structure
- Hyperuniform density fluctuations and diverging dynamic correlations in periodically driven colloidal suspensions
- Emergent hyperuniformity in periodically-driven emulsions
- Integration of Langevin Equations with Multiplicative Noise and Viability of Field Theories for Absorbing Phase Transitions
- Randomly Driven Granular Fluids: collisional statistics and short scale structure
- Self-organization without conservation: true or just apparent scale-invariance?
- Macroscopic yielding in jammed solids is accompanied by a non-equilibrium first-order transition in particle trajectories
- A microscopic view of the yielding transition in concentrated emulsions
- Hydrodynamics of Random-Organizing Hyperuniform Fluids
- Viscoelastic Effects in Avalanche Dynamics: A Key to Earthquake Statistics
- Absorbing state phase transition with competing quantum and classical fluctuations
- Universal continuous transition to turbulence in a planar shear flow
- General framework of the non-perturbative renormalization group for non-equilibrium steady states
- Quantifying hidden order out of equilibrium
- Self-Organized Bistability Associated With First-Order Phase Transitions
- Irreversible dynamics of a massive intruder in dense granular fluids
- Controlling entanglement at absorbing state phase transitions in random circuits
- An exact mapping of the stochastic field theory for Manna sandpiles to interfaces in random media
- Fluctuations and Criticality of a Granular Solid-Liquid-like Phase Transition
- Structure factors in granular experiments with homogeneous fluidization
- Mechanical Theory of Nonequilibrium Coexistence and Motility-Induced Phase Separation
- Sudden chain energy transfer events in vibrated granular media
- Granular Brownian motion
- Hyperuniform structures formed by shearing colloidal suspensions
- Instabilities in a free granular fluid described by the Enskog equation
- Extinction rates of established spatial populations
- Hydrodynamic modes in a confined granular fluid
- Velocity Distribution of a Homogeneously Cooling Granular Gas
- Fluctuating hydrodynamics and correlation lengths in a driven granular fluid
- Characterizing a non-equilibrium phase transition on a quantum computer
- Two-dimensional crystals far from equilibrium
- Absorbing-state transitions in granular materials close to jamming
- Universality class of nonequilibrium phase transitions with infinitely many-absorbing-states
- Entanglement and Absorbing-State Transitions in Interactive Quantum Dynamics
- Self-organized bistability and its possible relevance for brain dynamics
- Fluctuating hydrodynamics for dilute granular gases
- Perspective on Reversible to Irreversible Transitions in Periodic Driven Many Body Systems and Future Directions For Classical and Quantum Systems
- Microscopic theory for hyperuniformity in two-dimensional chiral active fluid
- Flowing sand - a physical realization of Directed Percolation
- Absorbing phase transition with a continuously varying exponent in a quantum contact process: a neural network approach
- Roles of energy dissipation in a liquid-solid transition of out-of-equilibrium systems
- Wave Turbulence and thermalization in one-dimensional chains
- (Ir)reversibility in dense granular systems driven by oscillating forces
- Criticality and correlated dynamics at the irreversibility transition in periodically driven colloidal suspensions
- Dynamical collective memory in fluidized granular materials
- Is the Boltzmann equation reversible? A large deviation perspective on the irreversibility paradox
- Fluctuating hydrodynamics for driven granular gases
- Universality and criticality of a second-order granular solid-liquid-like phase transition
- An overview of epidemic models with phase transitions to absorbing states running on top of complex networks
- Enskog kinetic theory for a model of a confined quasi-two-dimensional granular fluid
- Hydrodynamics for a model of a confined quasi-two-dimensional granular gas
- Dynamics of the bouncing ball
- Ballistic Aggregation in Systems of Inelastic Particles: Cluster growth, structure and aging
- Discontinuous nonequilibrium phase transitions in a nonlinearly pulse-coupled excitable lattice model
- The homogeneous steady state of a confined granular gas
- Dynamics of a first order transition to an absorbing state
- Fluctuating hydrodynamics and mesoscopic effects of spatial correlations in dissipative systems with conserved momentum
- Hyperuniformity in the Manna Model, Conserved Directed Percolation and Depinning
- Nonequilibrium Phase Transition To Temporal Oscillations In Mean-Field Spin Models
- Interactions and migration rescuing ecological diversity
- Understanding the instability of a vibrated granular monolayer
- Non-equilibrium dynamic hyperuniform states
- Continuous and discontinuous absorbing-state phase transitions on Voronoi-Delaunay random lattices
- Critical Phenomena in Quasi-Two-Dimensional Vibrated Granular Systems
- Enhancing (quasi-)long-range order in a two-dimensional driven crystal
- Effective two-dimensional model for granular matter with phase separation
- Interplay between an absorbing phase transition and synchronization in a driven granular system
- Long-range translational order and hyperuniformity in two-dimensional chiral active crystal
- Landau Theory for Non-Equilibrium Steady States
- Absorbing phase transitions in systems with mediated interactions
- Persistent homology and topological statistics of hyperuniform point clouds
- Collective drifts in vibrated granular packings: the interplay of friction and structure
- Anomalous relaxation and hyperuniform fluctuations in center-of-mass conserving systems with broken time-reversal symmetry
- Yielding is an absorbing phase transition with vanishing critical fluctuations
- Homogeneous dynamics in a vibrated granular monolayer
- Flowing sand - a possible physical realization of Directed Percolation
- How does a hyperuniform fluid freeze?
- Non-Analytic Non-Equilibrium Field Theory: Stochastic Reheating of the Ising Model
- Long-range order in two-dimensional systems with fluctuating active stresses
- Phase transition to turbulence via moving fronts
- Non Poissonian statistics in a low density fluid
- Hyperuniformity in mass transport processes with center-of-mass conservation: Some exact results
- Confined granular gases under the influence of vibrating walls
- Inhomogeneous cooling state of a strongly confined granular gas at low density
- Long range correlations in stochastic transport with energy and momentum conservation
- Self-diffusion in a quasi-two dimensional gas of hard spheres
- Tricritical behavior in epidemic dynamics with vaccination
- Barrier-Controlled Non-Equilibrium Criticality in Reactive Particle Systems
- Uncovering liquid-substrate fluctuation effects on crystal growth and disordered hyperuniformity of two-dimensional materials
- Kinetic model for a confined quasi-two-dimensional gas of inelastic hard spheres
- Enskog kinetic theory of binary granular suspensions: heat flux and stability analysis of the homogeneous steady state
- Localization in boundary-driven lattice models
- Nonanalytic Landau functionals shaping the finite-size scaling of fluctuations and response functions in and out of equilibrium
- A cascade model for the discontinuous absorbing phase transition between turbulent and laminar flows