Conservation laws and universality in branching annihilating random walks

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Abstract

Recently, Takayasu and Tretyakov studied branching annihilating random walks with n = 1-5 offspring. These models exhibit a continuous phase transition to an absorbing state. For odd n the models belong to the universality class of directed percolation. For even n the particle number is conserved modulo two and the critical behaviour is not compatible with directed percolation, in this paper branching annihilating random walks with n = 4 plus an additional process (spontaneous annihilation) which breaks the conservation law are studied. The inclusion of spontaneous annihilation, even at very small rates, leads to directed percolation critical behaviour.

Original languageEnglish
Pages (from-to)3921-3930
Number of pages10
JournalJournal of Physics A: Mathematical and General
Volume26
Issue number16
DOIs
Publication statusPublished - 21 Aug 1993
Externally publishedYes

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