The non-equilibrium phase transition of the pair-contact process with diffusion

Abstract

The pair-contact process 2A->3A, 2A->0 with diffusion of individual particles is a simple branching-annihilation processes which exhibits a phase transition from an active into an absorbing phase with an unusual type of critical behaviour which had not been seen before. Although the model has attracted considerable interest during the past few years it is not yet clear how its critical behaviour can be characterized and to what extent the diffusive pair-contact process represents an independent universality class. Recent research is reviewed and some standing open questions are outlined.

Latexe2e, 53 pp, with IOP macros, some details added

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Cited by in corpus (51)

• The nonperturbative functional renormalization group and its applications
• Applications of Field-Theoretic Renormalization Group Methods to Reaction-Diffusion Problems
• The Field Theory Approach to Percolation Processes
• Non-perturbative fixed point in a non-equilibrium phase transition
• Towards Classification of Phase Transitions in Reaction--Diffusion Models
• Field Theory Approaches to Nonequilibrium Dynamics
• Phase Transitions and Scaling in Systems Far From Equilibrium
• Tricritical directed percolation in 2+1 dimensions
• Diffusive epidemic process: theory and simulation
• Pair Contact Process with Diffusion: Failure of Master Equation Field Theory
• Driven Pair Contact Process with Diffusion
• The phase transition of the diffusive pair contact process revisited
• Moment ratios for the pair contact process with diffusion
• Reaction-diffusion processes and non-perturbative renormalisation group
• Finite scale singularity in the renormalization group flow of a reaction-diffusion system
• Reweighting for Nonequilibrium Markov Processes Using Sequential Importance Sampling Methods
• Crossover from the pair contact process with diffusion to directed percolation
• Nontrivial critical crossover between directed percolation models: Effect of infinitely many absorbing states
• Universality class of the pair contact process with diffusion
• Generating function, path integral representation, and equivalence for stochastic exclusive particle systems
• Cluster mean-field approximations with the coherent-anomaly-method analysis for the driven pair contact process with diffusion
• Critical decay exponent of the pair contact process with diffusion
• Universality classes of absorbing phase transitions in generic branching-annihilating particle systems
• Nonequilibrium Phase Transitions into Absorbing States: Focused around the pair contact process with diffusion
• Three different routes from the directed Ising to the directed percolation class
• Crossover from the parity-conserving pair contact process with diffusion to other universality classes
• Phase transition in an exactly solvable reaction-diffusion process
• Persistence as Order Parameter in Generalized Pair Contact Process with Diffusion
• Critical behavior of the two dimensional 2A->3A, 4A->0 binary system
• Absence of the discontinuous transition in the one-dimensional triplet creation model
• Comparing the influence of distinct kinds of temporal disorder in a low dimensional absorbing transition model
• Monte Carlo simulations of bosonic reaction-diffusion systems
• Quantum reaction-limited reaction-diffusion dynamics of noninteracting Bose gases
• Critical behavior of the diffusive susceptible-infected-recovered model
• Monte Carlo simulations of bosonic reaction-diffusion systems and comparison to Langevin equation description
• A coupled two-species model for the pair contact process with diffusion
• Exact correlation functions in particle-reaction models with immobile particles
• Pair contact process with diffusion of pairs
• Effects of diffusion in competitive contact processes on bipartite lattices
• Competing contact processes in the Watts-Strogatz network
• Critical Study on the Absorbing Phase Transition in a Four-State Predator-Prey Model in One Dimension
• Visibility graphs of critical and off-critical time series for absorbing state phase transitions
• Nonequilibrium Reweighting on the Driven Diffusive Lattice Gas
• Order-parameter critical exponent of absorbing phase transitions in one-dimensional systems with two symmetric absorbing states
• Reaction-diffusion dynamics of the weakly dissipative Fermi gas
• Absorbing state phase transitions with a non-accessible vacuum
• Generating Function for Particle-Number Probability Distribution in Directed Percolation
• The phase transition of triplet reaction-diffusion models
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• How to experimentally probe universal features of absorbing phase transitions using steady state
• Restoring detailed balance in non-Hermitian Markov processes