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29 March 2024
 
  » arxiv » cond-mat/0606210

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Spectral formulation and WKB approximation for rare-event statistics in reaction systems
Michael Assaf ; Baruch Meerson ;
Date 8 Jun 2006
Subject Statistical Mechanics
AbstractWe 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.
Source arXiv, cond-mat/0606210
Other source [GID 459007] pmid17155030
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