A Multiscale Approach to Brownian Motors

2005/04/16 by Grigorios A. Pavliotis, G. A. Pavliotis, Pavliotis, G. A. · 1 citation
Decision Sciences · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Probabilistic and Robust Engineering Design #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #stochastic dynamics and bifurcation

paper · pdf · doi:10.48550/arxiv.cond-mat/0504403

19 pages, 2 figures, to appear in Physics Letters A. Revised form

openalex publication_date 2005/04/16 · arxiv created 2005/06/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The problem of Brownian motion in a periodic potential, under the influence of external forcing, which is either random or periodic in time, is studied in this paper. Multiscale techniques are used to derive general formulae for the steady state particle current and the effective diffusion tensor. These formulae are then applied to calculate the effective diffusion coefficient for a Brownian particle in a periodic potential driven simultaneously by additive Gaussian white and colored noise. Our theoretical findings are supported by numerical simulations.

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