منابع مشابه
Dependent double branching annihilating random walk
Double (or parity conserving) branching annihilating random walk, introduced in [19], is a one-dimensional non-attractive particle system in which positive and negative particles perform nearest neighbor hopping, produce two offsprings to neighboring lattice points and annihilate when they meet. Given an odd number of initial particles, positive recurrence as seen from the leftmost particle pos...
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Branching annihilating random walk (BARW) is a generic term for a class of interacting particle systems on Z in which, as time evolves, particles execute random walks, produce offspring (on neighbouring sites) and (instantaneously) disappear when they meet other particles. Much of the interest in such models stems from the fact that they typically lack a monotonicity property called attractiven...
متن کاملTwo-Species Branching Annihilating Random Walks with One Offspring
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 کاملPropagation 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...
متن کاملUniversality Class of Two-Offspring Branching Annihilating Random Walks
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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ژورنال
عنوان ژورنال: Stochastic Processes and their Applications
سال: 1991
ISSN: 0304-4149
DOI: 10.1016/0304-4149(91)90056-i