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19 April 2024
 
  » arxiv » cond-mat/0510439

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Saltatory drift in a randomly driven two-wave potential
G.Oshanin ; J.Klafter ; M.Urbakh ;
Date 17 Oct 2005
Affiliation1,2), J.Klafter and M.Urbakh ( LPTMC, University of Paris 6, France; Max-Planck-Institute Stuttgart, Germany; School of Chemistry, University of Tel Aviv, Israel
AbstractDynamics of a classical particle in a one-dimensional, randomly driven potential is analysed both analytically and numerically. The potential considered here is composed of two identical spatially-periodic saw-tooth-like components, one of which is externally driven by a random force. We show that under certain conditions the particle may travel against the averaged external force performing a saltatory unidirectional drift with a constant velocity. Such a behavior persists also in situations when the external force averages out to zero. We demonstrate that the physics behind this phenomenon stems from a particular behavior of fluctuations in random force: upon reaching a certain level, random fluctuations exercise a locking function creating points of irreversibility which the particle can not overpass. Repeated (randomly) in each cycle, this results in a saltatory unidirectional drift. This mechanism resembles the work of an escapement-type device in watches. Considering the overdamped limit, we propose simple analytical estimates for the particle’s terminal velocity.
Source arXiv, cond-mat/0510439
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