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The universal behavior of one-dimensional, multi-species branching and annihilating random walks with exclusion

Geza Odor
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Abstract

A directed percolation process with two symmetric particle species exhibiting exclusion in one dimension is investigated numerically. It is shown that if the species are coupled by branching ($A\to AB$, $B\to BA$) a continuous phase transition will appear at zero branching rate limit belonging to the same universality class as that of the dynamical two-offspring (2-BARW2) model. This class persists even if the branching is biased towards one of the species. If the two systems are not coupled by branching but hard-core interaction is allowed only the transition will occur at finite branching rate belonging to the usual 1+1 dimensional directed percolation class.

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Geza Odor. 2000-10-23. The universal behavior of one-dimensional, multi-species branching and annihilating random walks with exclusion. https://doi.org/10.1103/physreve.63.056108

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