ESCAPE RATES IN BISTABLE SYSTEMS INDUCED BY QUASI-MONOCHROMATIC NOISE

Citation
Sjb. Einchcomb et Aj. Mckane, ESCAPE RATES IN BISTABLE SYSTEMS INDUCED BY QUASI-MONOCHROMATIC NOISE, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 49(1), 1994, pp. 259-266
Citations number
15
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
49
Issue
1
Year of publication
1994
Pages
259 - 266
Database
ISI
SICI code
1063-651X(1994)49:1<259:ERIBSI>2.0.ZU;2-Z
Abstract
Path-integral techniques are used to understand the behavior of a part icle moving in a bistable potential well and acted upon by quasimonoch romatic external noise. In the limit of small diffusion coefficient, a steepest-descent evaluation of the path integral to leading order ena bles mean first-passage times and the transition times from one well t o the other to be computed. The results and general approach are compa red with computer simulations of the process. It is found that the ban dwidth parameter Gamma has a critical value above which particle escap e is by white-noise-like outbursts, but below which escape is by oscil latory-type behavior.