Escape times in fluctuating metastable potential and acceleration of diffusion in periodic fluctuating potentials

Bernardo Spagnolo, Alexander A. Dubkov and Nikolay V. Agudov

Physica A: Statistical Mechanics and its Applications, 2004, vol. 340, issue 1, 265-273

Abstract: The problems of escape from metastable state in randomly flipping potential and of diffusion in fast fluctuating periodic potentials are considered. For the overdamped Brownian particle moving in a piecewise linear dichotomously fluctuating metastable potential, we obtain the mean first-passage time as a function of the potential parameters, the noise intensity and the mean rate of switchings of the dichotomous noise. We find noise-enhanced stability phenomenon in the system investigated and the parameter region of the fluctuating potential where the effect can be observed. For the diffusion of the overdamped Brownian particle in a fast fluctuating symmetric periodic potential we obtain that the effective diffusion coefficient depends on the mean first-passage time, as discovered for fixed periodic potential. The effective diffusion coefficients for sawtooth, sinusoidal and piecewise parabolic potentials are calculated in closed analytical form.

Keywords: Brownian motion; Noise-enhanced stability; Metastable state; Diffusion coefficient (search for similar items in EconPapers)
Date: 2004
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:340:y:2004:i:1:p:265-273

DOI: 10.1016/j.physa.2004.04.016

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