Non-perturbative fixed point in a non-equilibrium phase transition

Abstract

We apply the non-perturbative renormalization group method to a class of out-of-equilibrium phase transitions (usually called ``parity conserving'' or, more properly, ``generalized voter'' class) which is out of the reach of perturbative approaches. We show the existence of a genuinely non-perturbative fixed point, i.e. a critical point which does not seem to be Gaussian in any dimension.

4 pages, 2 figures. Submitted version with slightly amended discussion on earlier perturbative renormalisation group results

References in corpus (19)

• Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States
• Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
• Universality classes in nonequilibrium lattice systems
• Optimised Renormalisation Group Flows
• Exact Renormalization Group Equations. An Introductory Review
• Critical Coarsening without Surface Tension: the Voter Universality Class
• Field Theory of Branching and Annihilating Random Walks
• Langevin description of critical phenomena with two symmetric absorbing states
• Stochastic Lattice Models with Several Absorbing States
• Non Perturbative Renormalization Group study of reaction-diffusion processes and directed percolation
• One Dimensional Nonequilibrium Kinetic Ising Models with Branching Annihilating Random Walk
• Absorbing Phase Transitions of Branching-Annihilating Random Walks
• The non-equilibrium phase transition of the pair-contact process with diffusion
• Quantitative Phase Diagrams of Branching and Annihilating Random Walks
• Universality Class of Two-Offspring Branching Annihilating Random Walks
• Critical phenomena of nonequilibrium dynamical systems with two absorbing states
• Splitting the voter criticality
• Nonequilibrium Kinetic Ising Models: Phase Transition and Universality Classes in One Dimension
• Interacting Monomer-Dimer Model with Infinitely Many Absorbing States

Cited by in corpus (66)

• The nonperturbative functional renormalization group and its applications
• Keldysh Field Theory for Driven Open Quantum Systems
• An Introduction to the Nonperturbative Renormalization Group
• Non-perturbative renormalization group for the Kardar-Parisi-Zhang equation
• Master equations and the theory of stochastic path integrals
• Non-perturbative renormalisation group for the Kardar-Parisi-Zhang equation: general framework and first applications
• Non-perturbative renormalization group preserving full-momentum dependence: implementation and quantitative evaluation
• Solutions of renormalization group flow equations with full momentum dependence
• General framework of the non-perturbative renormalization group for non-equilibrium steady states
• Nonperturbative renormalization group for the stationary Kardar-Parisi-Zhang equation: scaling functions and amplitude ratios in 1+1, 2+1 and 3+1 dimensions
• Fully developed isotropic turbulence: nonperturbative renormalization group formalism and fixed point solution
• Non-perturbative Approach to Critical Dynamics
• Universality in driven open quantum matter
• Towards Classification of Phase Transitions in Reaction--Diffusion Models
• Analytic continuation of functional renormalization group equations
• Quantum dynamical field theory for non-equilibrium phase transitions in driven open systems
• Surprises in the $O(N)$ models: nonperturbative fixed points, large $N$ limit and multi-criticality
• Mean-field analysis of the q-voter model on networks
• Frequency regulators for the nonperturbative renormalization group: A general study and the model A as a benchmark
• The Gardner transition in finite dimensions
• Phenomenology of a First Order Dark State Phase Transition
• Asymmetric Mutualism in Two- and Three-Dimensional Range Expansions
• Algebraic coarsening in voter models with intermediate states
• Why Might the Standard Large $N$ Analysis Fail in the O($N$) Model: The Role of Cusps in the Fixed Point Potentials
• Universal short-time dynamics: boundary functional renormalization group for a temperature quench
• Bound states of the ${\varphi }^4$ model via the nonperturbative renormalization group
• Critical behavior of an even offspringed branching and annihilating random walk cellular automaton with spatial disorder
• Langevin equations for reaction-diffusion processes
• Breaking of scale invariance in the time dependence of correlation functions in isotropic and homogeneous turbulence
• Reaction-diffusion processes and non-perturbative renormalisation group
• Finite scale singularity in the renormalization group flow of a reaction-diffusion system
• KPZ equation with short-range correlated noise: emergent symmetries and non-universal observables
• Ageing, dynamical scaling and its extensions in many-particle systems without detailed balance
• The effect of quenched disorder in neutral theories
• The finite $N$ origin of the Bardeen-Moshe-Bander phenomenon and its extension at $N=\infty$ by singular fixed points
• Kardar-Parisi-Zhang Equation with temporally correlated noise: a non-perturbative renormalization group approach
• Stationary, isotropic and homogeneous two-dimensional turbulence: a first non-perturbative renormalization group approach
• Non-universality in the erosion of tilted landscapes
• Non-Perturbative Renormalization Group for the Diffusive Epidemic Process
• Local scale invariance in the parity conserving nonequilibrium kinetic Ising model
• Some exact results in branching and annihilating random walks
• Branching rate expansion around annihilating random walks
• Universal and non-universal features of the generalized voter class for ordering dynamics
• Network Renormalization
• Novel critical phenomena in compressible polar active fluids: Dynamical and Functional Renormalization Group Studies
• Crossovers from parity conserving to directed percolation universality
• Order-disorder transition in a model with two symmetric absorbing states
• On the Continuum Time Limit of Reaction-Diffusion Systems
• Background Field Functional Renormalization Group for Absorbing State Phase Transitions
• Renormalization group flow equations with full momentum dependence
• Numerical analysis of the rebellious voter model
• Coexistence in neutral theories: interplay of criticality and mild local preferences
• Long-Range and Many-Body Effects in Coagulation Processes
• Branching annihilating random walks with long-range attraction in one dimension
• Dimensional reduction and its breakdown in the driven random field O(N) model
• Nonequilibrium Kosterlitz-Thouless transition in a three-dimensional driven disordered system
• Order-disorder transition in the two dimensional interacting monomer-dimer model: Ising criticality
• Incompleteness of the large-$N$ analysis of the $O(N)$ models: Nonperturbative cuspy fixed points and their nontrivial homotopy at finite $N$
• Fluctuation Effects in the Pair-Annihilation Process with Lévy Dynamics
• Phase transitions in in vivo or in vitro populations of spiking neurons belong to different universality classes
• The phase transition of triplet reaction-diffusion models
• Order-parameter critical exponent of absorbing phase transitions in one-dimensional systems with two symmetric absorbing states
• A fixed point can hide another one: the nonperturbative behavior of the tetracritical fixed point of the O($N$) models at large $N$
• On the maximal noise for stochastic and QCD traveling waves
• Dynamic critical properties of non-equilibrium Potts models with absorbing states
• Gaussian Information Bottleneck and the Non-Perturbative Renormalization Group