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Transport in randomly-fluctuating spatially-periodic potentials

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  • Gleeson, James P.

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.

Suggested Citation

  • Gleeson, James P., 2009. "Transport in randomly-fluctuating spatially-periodic potentials," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(4), pages 277-287.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:4:p:277-287
    DOI: 10.1016/j.physa.2008.10.013
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    References listed on IDEAS

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    1. M. P. MacDonald & G. C. Spalding & K. Dholakia, 2003. "Microfluidic sorting in an optical lattice," Nature, Nature, vol. 426(6965), pages 421-424, November.
    2. Gleeson, James P., 2005. "Passive motion in dynamical disorder as a model for stock market prices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 351(2), pages 523-550.
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