Reaction-diffusion fronts with inhomogeneous initial conditions
其他凝聚态物理
2009-11-11 v1 统计力学
化学物理
摘要
Properties of reaction zones resulting from A+B -> C type reaction-diffusion processes are investigated by analytical and numerical methods. The reagents A and B are separated initially and, in addition, there is an initial macroscopic inhomogeneity in the distribution of the B species. For simple two-dimensional geometries, exact analytical results are presented for the time-evolution of the geometric shape of the front. We also show using cellular automata simulations that the fluctuations can be neglected both in the shape and in the width of the front.
引用
@article{arxiv.cond-mat/0607272,
title = {Reaction-diffusion fronts with inhomogeneous initial conditions},
author = {Ioana Bena and Michel Droz and Kirsten Martens and Zoltan Racz},
journal= {arXiv preprint arXiv:cond-mat/0607272},
year = {2009}
}
备注
11 pages, 3 figures, submitted to J. Phys. C