Spectral formulation and WKB approximation for rare-event statistics in reaction systems
Statistical Mechanics
2009-11-11 v2 Chemical Physics
Populations and Evolution
Abstract
We develop a spectral formulation and a stationary WKB approximation for calculating the probabilities of rare events (large deviations from the mean) in systems of reacting particles with infinite-range interaction, describable by a master equation. We compare the stationary WKB approximation with a recent time-dependent semiclassical approximation developed, for the same class of problems, by Elgart and Kamenev. As a benchmark we use an exactly solvable problem of the binary annihilation reaction 2A -> 0.
Cite
@article{arxiv.cond-mat/0606210,
title = {Spectral formulation and WKB approximation for rare-event statistics in reaction systems},
author = {Michael Assaf and Baruch Meerson},
journal= {arXiv preprint arXiv:cond-mat/0606210},
year = {2009}
}
Comments
11 pages, 10 eps figures