Saltatory drift in a randomly driven two-wave potential
摘要
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.
引用
@article{arxiv.cond-mat/0510439,
title = {Saltatory drift in a randomly driven two-wave potential},
author = {G. Oshanin and J. Klafter and M. Urbakh},
journal= {arXiv preprint arXiv:cond-mat/0510439},
year = {2015}
}
备注
14 pages, 6 figures; appearing in Journal of Physics: Condensed Matter, special issue on Molecular Motors and Friction