Universality Class of Two-Offspring Branching Annihilating Random Walks

Abstract

We analyze a two-offspring Branching Annihilating Random Walk ($n=2$ BAW) model, with finite annihilation rate. The finite annihilation rate allows for a dynamical phase transition between a vacuum, absorbing state and a non-empty, active steady state. We find numerically that this transition belongs to the same universality class as BAW's with an even number of offspring, $n\ge 4$, and that of other models whose dynamic rules conserve the parity of the particles locally. The simplicity of the model is exploited in computer simulations to obtain various critical exponents with a high level of accuracy.

10 pages, tex, 4 figures uuencoded, also available upon request

References in corpus (4)

• Critical Exponents for Branching Annihilating Random Walks with an Even Number of Offspring
• One Dimensional Nonequilibrium Kinetic Ising Models with Branching Annihilating Random Walk
• Propagation and Extinction in Branching Annihilating Random Walks
• Critical behaviour of a surface reaction model with infinitely many absorbing states

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