6533b821fe1ef96bd127ae07
RESEARCH PRODUCT
Escape Times in Fluctuating Metastable Potential and Acceleration of Diffusion in Periodic Fluctuating Potentials
N. V. AgudovAlexander A. DubkovBernardo Spagnolosubject
Statistics and ProbabilityStatistical Mechanics (cond-mat.stat-mech)FOS: Physical sciencesSawtooth waveCondensed Matter PhysicsNoise (electronics)Fluctuating Metastable PotentialPiecewise linear functionClassical mechanicsMetastabilityPiecewiseEffective diffusion coefficientStatistical physicsDiffusion (business)Brownian motionCondensed Matter - Statistical MechanicsMathematicsdescription
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 (MFPT) 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 (NES) 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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2004-01-01 |