Journal
JOURNAL OF STATISTICAL PHYSICS
Volume 126, Issue 1, Pages 75-94Publisher
SPRINGER
DOI: 10.1007/s10955-006-9237-1
Keywords
Markov chain; scaling limit; large deviations; self-induced stochastic resonance; molecular motors
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We consider Markov chains with fast and slow variables and show that in a suitable scaling limit, the dynamics becomes deterministic, yet is far away from the standard mean field approximation. This new limit is an instance of self-induced stochastic resonance which arises due to matching between a rare event timescale on the one hand and the natural timescale separation in the underlying problem on the other. Here it is illustrated on a model of a molecular motor, where it is shown to explain the regularity of the motor gait observed in some experiments.
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