Rare Events Statistics in Reaction--Diffusion Systems

Details Rare Events Statistics in Reaction--Diffusion Systems Rare Events Statistics in Reaction--Diffusion Systems

2004-04-09

arxiv.org/abs/cond-mat/0404241v2

Physics

Condensed Matter

Statistical Mechanics

12 pages, 6 figures

Scientific paper

10.1103/PhysRevE.70.041106

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.

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