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 language||English (US)|
|Journal||Physical Review E - Statistical, Nonlinear, and Soft Matter Physics|
|Issue number||4 1|
|State||Published - Oct 2004|
Bibliographical noteFunding 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.
Copyright 2008 Elsevier B.V., All rights reserved.