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Some stochastic phenomena in a driven double-well system

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  • Mahato, M.C.
  • Jayannavar, A.M.

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 undirectional 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 the relation between some of these apparently different phenomena.

Suggested Citation

  • Mahato, M.C. & Jayannavar, A.M., 1998. "Some stochastic phenomena in a driven double-well system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 248(1), pages 138-154.
    • Handle: RePEc:eee:phsmap:v:248:y:1998:i:1:p:138-154
    DOI: 10.1016/S0378-4371(97)80001-5
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    References listed on IDEAS

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    1. L. Lozzi & M. Passacantando & P. Picozzi & S. Santucci & M. De Crescenzi, 1995. "Eelfs And Exfas Electron Spectroscopies: A Combined Structural Investigation," Surface Review and Letters (SRL), World Scientific Publishing Co. Pte. Ltd., vol. 2(02), pages 255-268.
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    Cited by:

    1. Alrebdi, H.I. & Papadakis, Konstantinos E. & Navarro, Juan F. & Zotos, Euaggelos E., 2022. "Manifold dynamics and periodic orbits in a multiwell potential," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    2. Schmid, Gerhard & Hänggi, Peter, 2005. "Controlling nonlinear stochastic resonance by harmonic mixing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 351(1), pages 95-105.

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    1. Schmid, Gerhard & Hänggi, Peter, 2005. "Controlling nonlinear stochastic resonance by harmonic mixing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 351(1), pages 95-105.

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