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Phys. Rev. E 63, 056108 (2001) [3 pages]

Universal behavior of one-dimensional multispecies branching and annihilating random walks with exclusion

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Géza Ódor
Research Institute for Technical Physics and Materials Science, P.O. Box 49, H-1525 Budapest, Hungary

Received 30 October 2000; published 16 April 2001

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 (AAB, BBA), 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.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.63.056108
DOI:
10.1103/PhysRevE.63.056108
PACS:
05.70.Ln, 82.20.Wt, 64.60.-i, 05.40.-a