Rare Events Statistics in Reaction--Diffusion Systems
arXiv:cond-mat/0404241 · doi:10.1103/PhysRevE.70.041106
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.
12 pages, 6 figures