Peter Jung et al 2005 New J. Phys. 7 17 doi:10.1088/1367-2630/7/1/017
Thermal activation by power-limited coloured noise
Focus on Brownian Motion and Diffusion in the 21st CenturyPeter Jung1, Alexander Neiman, Muhammad K N Afghan, Suhita Nadkarni and Ghanim Ullah
Show affiliationsPart of Focus on Brownian Motion and Diffusion in the 21st Century
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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Issue 1 (January 2005)
Received 10 September 2004
Published 31 January 2005
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Thermal activation by power-limited coloured noise
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