Some stochastic phenomena in a driven double-well system

Abstract

We study the overdamped motion of a Brownian particle in a driven double-well system to understand various physical phenomena observed experimentally. These phenomena include hysteresis, stochastic resonance, and net unidirectional motion in a symmetric periodic system. We argue that the area of the hysteresis loop so defined is a good measure of synchronization (with respect to the applied field) of passages between the two wells. We find that stochastic resonance may be relevant even in case of large amplitude driving field due to a recently discovered phenomena of noise induced stability of unstable states. We try to find relation between some of these apparently different phenomena.

18 pages RevTex, 15 EPS figures included, communicated to Physica A

References in corpus (4)

• Enslaving random fluctuations in nonequlibrium systems
• A simple model for Maxwell's demon type information engine
• Relation between Stochastic Resonance and Synchronization of Passages in a Double-Well System
• Asymmetric motion in a double-well under the action of zero-mean Gaussian white noise and periodic forcing

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