Universal behavior of one-dimensional multispecies branching and annihilating random walks with exclusion.
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-->AB, B-->BA), a continuous phase transition will appear at the zero-branching-rate limit belonging to the same universality class as that of the two component branching and annihilating random-walk model with two symmetric offsprings. This class persists even if the branching is biased towards one of the species. If the two systems are not coupled by branching but a 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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Research Institute for Technical Physics and Materials Science, P.O. Box 49, H-1525 Budapest, Hungary.