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Rare Events Statistics in Reaction--Diffusion Systems

Vlad Elgart·Alex Kamenev
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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.

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Vlad Elgart, Alex Kamenev. 2004-04-20. Rare Events Statistics in Reaction--Diffusion Systems. https://doi.org/10.1103/physreve.70.041106

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