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.