Multiplicative stochastic processes in nonlinear systems: Noise-induced transition from the overdamped to the inertial regime
- 1 December 1984
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 30 (6), 3252-3263
- https://doi.org/10.1103/physreva.30.3252
Abstract
An experimental apparatus is set up to check, via analog circuits, the recent theoretical predictions of Graham and Schenzle [Phys. Rev. A 26, 1676 (1982)] on a Brownian particle with damping in the presence of a fluctuating double-well potential, the fluctuations of which are characterized by the correlation time . They pointed out the basic role played in the overdamped regime by the parameter , which leads the system either to the Itô regime () or the Stratonovich one (). In the weak-noise region, these predictions are found to be correct. It is shown furthermore that with increasing intensity of the multiplicative noise the system exhibits a gradual transition from this to an inertial regime which can be accounted for by using the approach recently followed by Seshadri, West, and Lindenberg [Physica (Utrecht) A 107, 219 (1981)]. It is also shown that this transition is a synergic effect based on the cooperation of nonlinearity, inertia, and energy pumping.
Keywords
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