Transport in randomly-fluctuating spatially-periodic potentials

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Abstract

The motion of overdamped particles in a one-dimensional spatially-periodic potential is considered. The potential is also randomly-fluctuating in time, due to multiplicative colored noise terms, and has a deterministic tilt. Numerical simulations show two distinct parameter regimes, corresponding to free-running near-deterministic particles, and particles which are trapped in local minima of the potential with intermittent escape flights. Perturbation and asymptotic methods are developed to understand the drift velocity and diffusion coefficient in each parameter regime.

Original languageEnglish
Pages (from-to)277-287
Number of pages11
JournalPhysica A: Statistical Mechanics and its Applications
Volume388
Issue number4
DOIs
Publication statusPublished - 15 Feb 2009

Keywords

  • Colored noise
  • Diffusion
  • Random transport

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