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
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.