Stochastic Lattice Models with Several Absorbing States

TL;DR

This paper investigates two stochastic lattice models with multiple absorbing states, revealing their universality class and unique features such as the absence of explicit parity conservation, through numerical analysis.

Contribution

The study introduces two generalized models with multiple absorbing states that belong to the same universality class as branching annihilating walks without explicit parity conservation.

Findings

Models with two absorbing states belong to the same universality class as branching annihilating walks.

These models lack explicit parity conservation, unlike previous models.

Numerical results support the universality classification.

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.