Rare event statistics in reaction-diffusion systems
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- 28 October 2004
- journal article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 70 (4) , 041106
- https://doi.org/10.1103/physreve.70.041106
Abstract
We present an efficient method to calculate probabilities of large deviations from the typical behavior (rare events) in reaction-diffusion systems. This method is based on a semiclassical treatment of an underlying “quantum” Hamiltonian, encoding the system’s evolution. To this end, we formulate the corresponding canonical dynamical system and investigate its phase portrait. This method is presented for a number of pedagogical examples.Keywords
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