Exact Results for Spectra of Overdamped Brownian Motion in Fixed and Randomly Switching Potentials

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dc.creatorDubkov, A. A.
dc.creatorGanin, V. N.
dc.creatorSpagnolo, B.
dc.date2004-03-27
dc.date.accessioned2026-07-07T02:57:17Z
dc.date.available2026-07-07T02:57:17Z
dc.descriptionThe exact formulae for spectra of equilibrium diffusion in a fixed bistable piecewise linear potential and in a randomly flipping monostable potential are derived. Our results are valid for arbitrary intensity of driving white Gaussian noise and arbitrary parameters of potential profiles. We find: (i) an exponentially rapid narrowing of the spectrum with increasing height of the potential barrier, for fixed bistable potential; (ii) a nonlinear phenomenon, which manifests in the narrowing of the spectrum with increasing mean rate of flippings, and (iii) a nonmonotonic behaviour of the spectrum at zero frequency, as a function of the mean rate of switchings, for randomly switching potential. The last feature is a new characterization of resonant activation phenomenon.
dc.descriptionin press in Acta Physica Polonica, vol. 35 (4), 2004
dc.identifierhttps://arxiv.org/abs/cond-mat/0403664
dc.identifierhttp://arxiv.org/abs/cond-mat/0403664
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/23609
dc.subjectStatistical Mechanics
dc.titleExact Results for Spectra of Overdamped Brownian Motion in Fixed and Randomly Switching Potentials
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