Branching and annihilating random walks: Exact results at low branching rate
نویسندگان
چکیده
منابع مشابه
Propagation and extinction in branching annihilating random walks.
We investigate the temporal evolution and spatial propagation of branching annihilating random walks in one dimension. Depending on the branching and annihilation rates, a few-particle initial state can evolve to a propagating finite density wave, or extinction may occur, in which the number of particles vanishes in the long-time limit. The number parity conserving case where 2-offspring are pr...
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We analyze a two-offspring Branching Annihilating Random Walk (n = 2 BAW) model, with finite annihilation rate. The finite annihilation rate allows for a dynamical phase transition between a vacuum, absorbing state and a non-empty, active steady state. We find numerically that this transition belongs to the same universality class as BAW’s with an even number of offspring, n ≥ 4, and that of ot...
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The last decades have seen considerable efforts to understand nonequilibrium absorbing phase transitions from an active phase into an absorbing phase consisting of absorbing states [1]. Once the system is trapped into an absorbing state, it can never escape from the state. Various one dimensional lattice models exhibiting absorbing transitions have been studied, and most of them turn out to bel...
متن کاملAbsorbing phase transitions of branching-annihilating random walks.
The phase transitions to absorbing states of the branching-annihilating reaction-diffusion processes mA-->(m+k)A, nA-->(n-l)A are studied systematically in one space dimension within a new family of models. Four universality classes of nontrivial critical behavior are found. This provides, in particular, the first evidence of universal scaling laws for pair and triplet processes.
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2013
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.87.052132