Kramers' law for a bistable system with time-delayed noise

• Published in: Physical review. E, Statistical, nonlinear, and soft matter physics Vol. 76; no. 3 Pt 1; p. 031128
• Main Authors: Goulding, D, Melnik, S, Curtin, D, Piwonski, T, Houlihan, J, Gleeson, J P, Huyet, G
• Format: Journal Article
• Language: English
• Published: United States 01.09.2007

We demonstrate that the classical Kramers' escape problem can be extended to describe a bistable system under the influence of noise consisting of the superposition of a white Gaussian noise with the same noise delayed by time tau . The distribution of times between two consecutive switches dec...