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Saltatory drift in a randomly driven two-wave potential | G.Oshanin
; J.Klafter
; M.Urbakh
; | Date: |
17 Oct 2005 | Affiliation: | 1,2), J.Klafter and M.Urbakh ( LPTMC, University of Paris 6, France; Max-Planck-Institute Stuttgart, Germany; School of Chemistry, University of Tel Aviv, Israel | Abstract: | Dynamics 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 | Services: | Forum | Review | PDF | Favorites |
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