Abstract
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) |
|---|---|
| Article number | 041106 |
| Pages (from-to) | 041106-1-041106-12 |
| Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |
| Volume | 70 |
| Issue number | 4 1 |
| DOIs | |
| State | Published - 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.