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Thermal activation by power-limited coloured noise

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Published 31 January 2005 Published under licence by IOP Publishing Ltd
, ,     Focus on Brownian Motion and Diffusion in the 21st Century Citation Peter Jung et al 2005 New J. Phys. 7 17 DOI 10.1088/1367-2630/7/1/017

1367-2630/7/1/17

Abstract

We consider thermal activation in a bistable potential in the presence of correlated (Ornstein–Uhlenbeck) noise. Escape rates are discussed as a function of the correlation time of the noise at a constant variance of the noise. In contrast to a large body of previous work, where the variance of the noise decreases with increasing correlation time of the noise, we find a bell-shaped curve for the escape rate with a vanishing rate at zero and infinite correlation times. We further calculate threshold crossing rates driven by energy-constrained coloured noise.

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10.1088/1367-2630/7/1/017