Search results for "Fluctuating Rectangular Periodic Potential"

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Diffusion in Flashing Periodic Potentials

2005

The one-dimensional overdamped Brownian motion in a symmetric periodic potential modulated by external time-reversible noise is analyzed. The calculation of the effective diffusion coefficient is reduced to the mean first passage time problem. We derive general equations to calculate the effective diffusion coefficient of Brownian particles moving in arbitrary supersymmetric potential modulated: (i) by external white Gaussian noise and (ii) by Markovian dichotomous noise. For both cases the exact expressions for the effective diffusion coefficient are derived. We obtain acceleration of diffusion in comparison with the free diffusion case for fast fluctuating potentials with arbitrary profil…

PhysicsFluctuating Rectangular Periodic PotentialStatistical Mechanics (cond-mat.stat-mech)Mathematical analysisFOS: Physical sciencesSawtooth waveCondensed Matter - Soft Condensed MatterCondensed Matter PhysicsNoise (electronics)Electronic Optical and Magnetic Materialssymbols.namesakeAccelerationAdditive white Gaussian noisesymbolsSoft Condensed Matter (cond-mat.soft)Effective diffusion coefficientDiffusion (business)First-hitting-time modelBrownian motionCondensed Matter - Statistical Mechanics

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