Rare event statistics in reaction-diffusion systems

Vlad Elgart, Alex Kamenev

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168 Scopus citations


The method to calculate probabilities of large deviations from the typical behavior in reaction-diffusion systems was described. The method is based on the semiclassical treatment of an underlying Hamiltonian which encodes the system's evolution. It was observed that the process of evolution is a consequence of the interplay of mutation and selection on a population of organisms. It was found that the probability of the rare event is proportional to the exponentiated action along the classical trajectory.

Original languageEnglish (US)
Article number041106
Pages (from-to)041106-1-041106-12
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Issue number4 1
StatePublished - Oct 2004

Bibliographical note

Funding Information:
We are grateful to A. Elgart, Y. Gefen, A. Lopatin, and K. Matveev for useful conversations. A.K. is supported by the A. P. Sloan Foundation.


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