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

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

2000-10-23

arxiv.org/abs/cond-mat/0010347v1

Phys. Rev. E 63 (2001) 056108

Physics

Condensed Matter

Statistical Mechanics

3 pages, 3 figures included

Scientific paper

10.1103/PhysRevE.63.056108

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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