Rare Events Statistics in Reaction--Diffusion Systems

Preprint

20 April 2004

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/0404241

Abstract

We develop an efficient method to calculate probabilities of large deviations from the typical behavior (rare events) in reaction--diffusion systems. The method is based on a semiclassical treatment of underlying "quantum" Hamiltonian, encoding the system's evolution. To this end we formulate corresponding canonical dynamical system and investigate its phase portrait. The method is presented for a number of pedagogical examples.

Keywords

FORMULATE CORRESPONDING
SEMICLASSICAL TREATMENT
METHOD TO CALCULATE
SYSTEMS WE DEVELOP
EVENTS STATISTICS
DIFFUSION SYSTEMS
DYNAMICAL SYSTEM
RARE EVENTS
EVOLUTION

All Related Versions

Version 1, 2004-04-09, ArXiv
Version 2, 2004-04-20, ArXiv
Published version: Physical Review E, 70 (4), 041106.

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