Stochastic lattice models with several absorbing states

1997/01/01 by Haye Hinrichsen · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Cellular Automata and Applications #Stochastic processes and statistical mechanics #Theoretical and Computational Physics

paper · doi:10.1103/physreve.55.219

openalex publication_date 1997/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

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.

Citations

• Critical exponents for branching annihilating random walks with an even number of offspring

Cited by

• Nonperturbative Fixed Point in a Nonequilibrium Phase Transition
• Langevin Description of Critical Phenomena with Two Symmetric Absorbing States

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