Effects of additive noise on vibrational resonance in a bistable system

Details Effects of additive noise on vibrational resonance in a bistable system Effects of additive noise on vibrational resonance in a bistable system

2003-09-16

arxiv.org/abs/cond-mat/0309388v1

Physics

Condensed Matter

Statistical Mechanics

7 pages and 1 figure

Scientific paper

10.1103/PhysRevE.69.046108

We study the overdamped motion of a particle in a bistable potential subject to the action of a bichromatic force and additive noise, within the context of the vibrational resonance phenomenon. Under appropriate conditions, we obtain analytical expressions for the relevant observables which quantifies this phenomenon. The theoretical results are compared with those obtained by the numerical solution of the stochastic differential equation which describes the dynamics of the system. The limits of validity of the theoretical approach are also discussed.

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