Uninfected random walkers in one dimension

被引：7

作者：

O'Donoghue, S.J. ^{[1
]}

Bray, A.J. ^{[1
]}

机构：

[1] Department of Physics and Astronomy, University of Manchester, Manchester M13 9PL, United Kingdom

来源：

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics | 2002年 / 65卷 / 05期

关键词：

Approximation theory - Asymptotic stability - Functions - Heuristic methods - Mathematical models - Probability;

D O I：

10.1103/PhysRevE.65.051113

中图分类号：

学科分类号：

摘要：

We consider a system of unbiased diffusing walkers (A∅ ↔ ∅A) in one dimension with random initial conditions. We investigate numerically the relation between the fraction of walkers U(t) which have never encountered another walker up to time t, calling such walkers uninfected and the fraction of sites P(t) which have never been visited by a diffusing particle. We extend our study to include the A + B∅ diffusion-limited reaction in one dimension, with equal initial densities of A and B particles distributed homogeneously at t = 0. We find U(t)[P(t)]γ, with γ1.39, in both models, though there is evidence that a smaller value of γ is required for t&rarr∞. © 2002 The American Physical Society.

引用

页码：1 / 051113