Rare Events Statistics in Reaction--Diffusion Systems
统计力学
2009-11-10 v2 无序系统与神经网络
元胞自动机与格子气
化学物理
摘要
We develop an efficient method to calculate probabilities of large deviations from the typical behavior (rare events) in reaction--diffusion systems. The method is based on a semiclassical treatment of underlying "quantum" Hamiltonian, encoding the system's evolution. To this end we formulate corresponding canonical dynamical system and investigate its phase portrait. The method is presented for a number of pedagogical examples.
引用
@article{arxiv.cond-mat/0404241,
title = {Rare Events Statistics in Reaction--Diffusion Systems},
author = {Vlad Elgart and Alex Kamenev},
journal= {arXiv preprint arXiv:cond-mat/0404241},
year = {2009}
}
备注
12 pages, 6 figures