PMID: 22587075May 17, 2012Paper

Periodically driven underdamped periodic and washboard potential systems: dynamical states and stochastic resonance

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
W L ReenbohnMangal C Mahato

Abstract

We have studied the motion of an underdamped Brownian particle in (i) a bistable periodic potential and (ii) washboard potentials subjected to a sinusoidal external field. The particles are shown to be effectively in two dynamical states of their trajectories with distinct amplitudes and phase relationship with the external drive. These dynamical states are stable with fixed energies at low temperatures, but transitions between them take place as the temperature is increased. The average input energy loss to the environment per period of the drive shows a stochastic resonance (SR) peak as a function of temperature for the underdamped system potentials studied. The occurrence of SR in these systems is explained using the statistics of transitions between the two dynamical states.

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Citations

Oct 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·W L Reenbohn, Mangal C Mahato
Jun 13, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·W L Reenbohn, Mangal C Mahato

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