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

Author

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

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.

Suggested Citation

  • Spagnolo, Bernardo & A. Dubkov, Alexander & V. Agudov, Nikolay, 2004. "Escape times in fluctuating metastable potential and acceleration of diffusion in periodic fluctuating potentials," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 340(1), pages 265-273.
    • Handle: RePEc:eee:phsmap:v:340:y:2004:i:1:p:265-273
    DOI: 10.1016/j.physa.2004.04.016
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    Cited by:

    1. Suleiman, Kheder & Song, Qixuan & Zhang, Xuelan & Liu, Shengna & Zheng, Liancun, 2022. "Anomalous diffusion in a circular comb with external velocity field," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).

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