Rare Events Statistics in Reaction--Diffusion Systems
Statistical Mechanics
2009-11-10 v2 Disordered Systems and Neural Networks
Cellular Automata and Lattice Gases
Chemical Physics
Abstract
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.
Cite
@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}
}
Comments
12 pages, 6 figures