Stochastic Lattice Models with Several Absorbing States
arXiv:cond-mat/9608065 · doi:10.1103/PhysRevE.55.219
Abstract
We study two models with n equivalent absorbing states that generalize the Domany-Kinzel cellular automaton and the contact process. Numerical investigations show that for n=2 both models belong to the same universality class as branching annihilating walks with an even number of offspring. Unlike previously known models, these models have no explicit parity conservation law.
8 pages, RevTeX, including 8 postscript figures, minor typos corrected
Cited by in corpus (82)
- Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States
- Universality classes in nonequilibrium lattice systems
- Rare region effects at classical, quantum, and non-equilibrium phase transitions
- Strong disorder RG approach of random systems
- Field Theory of Branching and Annihilating Random Walks
- Avalanche and spreading exponents in systems with absorbing states
- Absorbing-state phase transitions in fixed-energy sandpiles
- Absorbing state phase transitions with quenched disorder
- Langevin description of critical phenomena with two symmetric absorbing states
- Critical behavior and Griffiths effects in the disordered contact process
- Phase transition and selection in a four-species cyclic Lotka-Volterra model
- Critical properties of the reaction - diffusion model 2A -> 3A, 2A ->0
- Non-perturbative fixed point in a non-equilibrium phase transition
- Pair contact process with diffusion - A new type of nonequilibrium critical behavior?
- Critical behaviour of the 1d annihilation fission process 2A->0, 2A->3A
- Non-equilibrium Phase Transitions with Long-Range Interactions
- Active Absorbing State Phase Transition Beyond Directed Percolation : A Class of Exactly Solvable Models
- Novel universality class of absorbing transitions with continuously varying critical exponents
- Nature of phase transitions in a probabilistic cellular automaton with two absorbing states
- Critical phenomena of nonequilibrium dynamical systems with two absorbing states
- Roughening transition in a model for dimer adsorption and desorption
- Vortex dynamics in a three-state model under cyclic dominance
- Novel non-equilibrium critical behavior in unidirectionally coupled stochastic processes
- Binary spreading process with parity conservation
- Splitting the voter criticality
- Branching and annihilating Levy flights
- Does hardcore interaction change absorbing type critical phenomena?
- Critical behavior of an even offspringed branching and annihilating random walk cellular automaton with spatial disorder
- Damage Spreading in the Ising Model
- Phase transition classes in triplet and quadruplet reaction diffusion models
- Random fields at a nonequilibrium phase transition
- Surface Critical Behavior in Systems with Absorbing States
- Critical behavior of roughening transitions in parity-conserving growth processes
- Phase transition in a triplet process
- The one-dimensional contact process: duality and renormalisation
- The generalized contact process with n absorbing states
- Critical behaviour of annihilating random walk of two species with exclusion in one dimension
- Phase transitions in nonequilibrium d-dimensional models with q absorbing states
- Stochastic cellular automaton for the coagulation-fission-process 2A->3A, 2A->A
- Critical branching-annihilating random walk of two species
- Interacting Monomer-Dimer Model with Infinitely Many Absorbing States
- Hard core particle exclusion effects in low dimensional non-equilibrium phase transitions
- Damage spreading for one-dimensional, non-equilibrium models with parity conserving phase transitions
- Surface Critical Behavior in Systems with Non-Equilibrium Phase Transitions
- Nonequilibrium Phase Transitions into Absorbing States: Focused around the pair contact process with diffusion
- Absorbing-state phase transitions on percolating lattices
- Three different routes from the directed Ising to the directed percolation class
- Differences between regular and random order of updates in damage spreading simulations
- Critical behavior of a one-dimensional monomer-dimer reaction model with lateral interactions
- Crossovers from parity conserving to directed percolation universality
- A first-order transition with power-law singularity in models with absorbing states
- Criticality and oscillatory behavior in non-Markovian Contact Process
- Generalized contact process with two symmetric absorbing states in two dimensions
- Branching annihilating random walks with parity conservation on a square lattice
- Cluster mean-field study of the parity conserving phase transition
- Dimensional reduction in a model with infinitely many absorbing states
- Principal component analysis of absorbing state phase transitions
- On the Continuum Time Limit of Reaction-Diffusion Systems
- Phase transitions of extended-range probabilistic cellular automata with two absorbing states
- Dynamic behavior of driven interfaces in models with two absorbing states
- Phase transitions of the generalized contact process with two absorbing states
- Study of universality crossover in the contact process
- Crossover behaviors in branching annihilating attracting walk
- Branching annihilating random walks with long-range attraction in one dimension
- Random field disorder at an absorbing state transition in one and two dimensions
- Directed Ising type dynamic preroughening transition in one dimensional interfaces
- Probability distribution of the order parameter in the directed percolation universality class
- Mean-field solution of the parity-conserving kinetic phase transition in one dimension
- Dynamics-dependent criticality in models with q absorbing states
- First order phase transition with a logarithmic singularity in a model with absorbing states
- Stability of vacuum in coupled directed percolation processes
- Generic Criticality in a Model of Evolution
- Absorbing Phase Transition in a Four State Predator Prey Model in One Dimension
- Large-scale spatio-temporal patterns in a ring of non-locally coupled oscillators with a repulsive coupling
- Novel criticality in a model with absorbing states
- Generalized scaling relations for unidirectionally coupled nonequilibrium systems
- Systems with superabsorbing states
- Charge order in an interacting monolayer under transverse bias
- The three species monomer-monomer model in the reaction-controlled limit
- Study of the one-dimensional off-lattice hot-monomer reaction model
- Multi-chain models of Conserved Lattice Gas
- From Newton to Cellular Automata