Pair contact process with diffusion - A new type of nonequilibrium critical behavior?
arXiv:cond-mat/0001177 · doi:10.1103/PhysRevE.63.036102
Abstract
Recently Carlon et. al. investigated the critical behavior of the pair contact process with diffusion [cond-mat/9912347]. Using density matrix renormalization group methods, they estimate the critical exponents, raising the possibility that the transition might belong to the same universality class as branching annihilating random walks with even numbers of offspring. This is surprising since the model does not have an explicit parity-conserving symmetry. In order to understand this contradiction, we estimate the critical exponents by Monte Carlo simulations. The results suggest that the transition might belong to a different universality class that has not been investigated before.
RevTeX, 3 pages, 2 eps figures, adapted to final version of cond-mat/9912347
References in corpus (3)
Cited by in corpus (43)
- Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States
- Universality classes in nonequilibrium lattice systems
- Critical properties of the reaction - diffusion model 2A -> 3A, 2A ->0
- Absorbing Phase Transitions of Branching-Annihilating Random Walks
- The non-equilibrium phase transition of the pair-contact process with diffusion
- Towards Classification of Phase Transitions in Reaction--Diffusion Models
- Novel universality class of absorbing transitions with continuously varying critical exponents
- Exact solution of a reaction-diffusion process with three-site interactions
- On the critical behavior of the one dimensional, diffusive pair contact process
- Nonuniversality in the pair contact process with diffusion
- Universal finite-size scaling amplitudes in anisotropic scaling
- Cyclically coupled spreading and pair annihilation
- Pair Contact Process with Diffusion: Failure of Master Equation Field Theory
- Binary spreading process with parity conservation
- Transfer-matrix DMRG for stochastic models: The Domany-Kinzel cellular automaton
- Phase transition of a two dimensional binary spreading model
- Universality in the pair contact process with diffusion
- The phase transition of the diffusive pair contact process revisited
- Phase transition of the one-dimensional coagulation-production process
- Moment ratios for the pair contact process with diffusion
- Phase transition classes in triplet and quadruplet reaction diffusion models
- Phase transition in a triplet process
- Multicomponent binary spreading process
- Stochastic cellular automaton for the coagulation-fission-process 2A->3A, 2A->A
- Universality class of the pair contact process with diffusion
- Hard core particle exclusion effects in low dimensional non-equilibrium phase transitions
- 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
- Critical decay exponent of the pair contact process with diffusion
- Persistence as Order Parameter in Generalized Pair Contact Process with Diffusion
- Two-point correlation functions of the diffusion-limited annihilation in one dimension
- Phase transitions of the binary production 2A->3A, 4A->0 model
- Critical behavior of the two dimensional 2A->3A, 4A->0 binary system
- Novel Transition to fully absorbing state without long-range spatial order in Directed Percolation class
- Critical exponents of the pair contact process with diffusion
- Static critical behavior in the inactive phase of the pair contact process
- Dynamic Phase Transition in Prisoner's Dilemma on a Lattice with Stochastic Modifications
- A coupled two-species model for the pair contact process with diffusion
- Critical behavior of an epidemic model of drug resistant diseases
- Pair contact process with diffusion of pairs
- The diffusive pair contact process and non-equilibrium wetting
- Universality-class crossover by a nonorder field introduced to the pair contact process with diffusion
- Neutral theory of cooperative dynamics