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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 | 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. | Source: | arXiv, cond-mat/0606210 | Other source: | [GID 459007] pmid17155030 | Services: | Forum | Review | PDF | Favorites |
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