Site Recurrence for Annihilating Random Walks on $Z_d$
نویسندگان
چکیده
منابع مشابه
Asymptotic Behavior of Densities for Two-Particle Annihilating Random Walks
Consider the system of particles on Z a where particles are of two types A and B--and execute simple random walks in continuous time. Particles do not interact with their own type, but when an A-particle meets a B-particle, both disappear, i.e., are annihilated. This system serves as a model for the chemical reaction A + B ~ inert. We analyze the limiting behavior of the densities pA(t) and pB(...
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The kinetics of annihilating random walks in one dimension, with the half-line x > 0 initially filled, is investigated. The survival probability of the nth particle from the interface exhibits power-law decay, Sn(t) ∼ t−αn , with αn ≈ 0.225 for n = 1 and all odd values of n; for all n even, a faster decay with αn ≈ 0.865 is observed. From consideration of the eventual survival probability in a ...
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Annihilating random walks (ARW) have been studied in the early 70’s within the theory of interacting particles systems (see [1],[2],[3] and [9]). The idea was to study a system of particles moving on a graph according to certain laws of attraction. The system we study in this paper is defined as follows: the initial system consists of particles at every site of 2 . Then, each particle simultane...
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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...
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 1983
ISSN: 0091-1798
DOI: 10.1214/aop/1176993515