Nonequilibrium Phase Transitions into Absorbing States: Focused around the pair contact process with diffusion

Abstract

Systems with absorbing (trapped) states may exhibit a nonequilibrium phase transition from a noise-free inactive phase into an ever-lasting active phase. We briefly review the absorbing critical phenomena and universality classes, and discuss over the controversial issues on the pair contact process with diffusion (PCPD). Two different approaches are proposed to clarify its universality issue, which unveil strong evidences that the PCPD belongs to a new universality class other than the directed percolation class.

Proceedings of STATPHY23. Submitted to EPJB

References in corpus (34)

• Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States
• Universality classes in nonequilibrium lattice systems
• Universal scaling behavior of non-equilibrium phase transitions
• Theory of Branching and Annihilating Random Walks
• Wilson renormalization of a reaction-diffusion process
• Levy-flight spreading of epidemic processes leading to percolating clusters
• Langevin description of critical phenomena with two symmetric absorbing states
• Stochastic Lattice Models with Several Absorbing States
• Critical properties of the reaction - diffusion model 2A -> 3A, 2A ->0
• A model for anomalous directed percolation
• Absorbing Phase Transitions of Branching-Annihilating Random Walks
• The non-equilibrium phase transition of the pair-contact process with diffusion
• Nonequilibrium Critical Dynamics of a Three Species Monomer-Monomer Model
• Dynamic scaling behavior of an interacting monomer--dimer model
• Novel universality class of absorbing transitions with continuously varying critical exponents
• Critical phenomena of nonequilibrium dynamical systems with two absorbing states
• Critical behavior of an absorbing phase transition in an interacting monomer-dimer model
• Reentrant phase diagram of branching annihilating random walks with one and two offsprings
• Nonuniversality in the pair contact process with diffusion
• Pair Contact Process with Diffusion: Failure of Master Equation Field Theory
• Epidemic processes with immunization
• Phase transition of a two dimensional binary spreading model
• Nonuniversal Critical Spreading in Two Dimensions
• Universality in the pair contact process with diffusion
• 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
• A parity conserving dimer model with infinitely many absorbing states
• Crossover from the pair contact process with diffusion to directed percolation
• Nontrivial critical crossover between directed percolation models: Effect of infinitely many absorbing states
• Interacting Monomer-Dimer Model with Infinitely Many Absorbing States
• Cluster mean-field approximations with the coherent-anomaly-method analysis for the driven pair contact process with diffusion
• Generating function, path integral representation, and equivalence for stochastic exclusive particle systems
• Monte Carlo simulations of bosonic reaction-diffusion systems and comparison to Langevin equation description

Cited by in corpus (10)

• Critical decay exponent of 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
• Persistence as Order Parameter in Generalized Pair Contact Process with Diffusion
• Absence of the discontinuous transition in the one-dimensional triplet creation model
• Branching annihilating random walks with long-range attraction in one dimension
• Microcanonical analysis of a nonequilibrium phase transition
• Critical Study on the Absorbing Phase Transition in a Four-State Predator-Prey Model in One Dimension
• Universality-class crossover by a nonorder field introduced to the pair contact process with diffusion
• Crossover from dynamical percolation class to directed percolation class on a two dimensional lattice