Spectral formulation and WKB approximation for rare-event statistics in reaction systems

Preprint

23 September 2006

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/0606210

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.

Keywords

SPECTRAL FORMULATION
WKB APPROXIMATION
REACTION SYSTEMS
EVENT STATISTICS
STATIONARY WKB
SEMICLASSICAL
RARE EVENT

All Related Versions

Version 1, 2006-06-08, ArXiv
Version 2, 2006-09-23, ArXiv
Published version: Physical Review E, 74 (4), 041115.

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