Kinetics of A+B--->0 with Driven Diffusive Motion
凝聚态物理
2009-10-28 v1
摘要
We study the kinetics of two-species annihilation, A+B--->0, when all particles undergo strictly biased motion in the same direction and with an excluded volume repulsion between same species particles. It was recently shown that the density in this system decays as t^{-1/3}, compared to t^{-1/4} density decay in A+B--->0 with isotropic diffusion and either with or without the hard-core repulsion. We suggest a relatively simple explanation for this t^{-1/3} decay based on the Burgers equation. Related properties associated with the asymptotic distribution of reactants can also be accounted for within this Burgers equation description.
引用
@article{arxiv.cond-mat/9504007,
title = {Kinetics of A+B--->0 with Driven Diffusive Motion},
author = {I. Ispolatov and P. L. Krapivsky and S. Redner},
journal= {arXiv preprint arXiv:cond-mat/9504007},
year = {2009}
}
备注
11 pages, plain Tex, 8 figures. Hardcopy of figures available on request from SR