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

Michael Assaf*, Baruch Meerson

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

34 Scopus citations

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 to a recent time-dependent semiclassical approximation developed, for the same class of problems, by Elgart and Kamenev [Phys. Rev. E 70, 41106 (2004)]. As a benchmark we use an exactly solvable problem of the binary annihilation reaction 2A↠0Ì.

Original languageAmerican English
Article number041115
JournalPhysical Review E
Volume74
Issue number4
DOIs
StatePublished - 2006

Fingerprint

Dive into the research topics of 'Spectral formulation and WKB approximation for rare-event statistics in reaction systems'. Together they form a unique fingerprint.

Cite this