Molecular motor with a build-in escapement device

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dc.creatorOshanin, G.
dc.creatorKlafter, J.
dc.creatorUrbakh, M.
dc.date2003-12-18
dc.date.accessioned2026-07-07T02:55:28Z
dc.date.available2026-07-07T02:55:28Z
dc.descriptionWe study dynamics of a classical particle in a one-dimensional potential, which is composed of two periodic components, that are time-independent, have equal amplitudes and periodicities. One of them is externally driven by a random force and thus performs a diffusive-type motion with respect to the other. We demonstrate that here, under certain conditions, the particle may move unidirectionally with a constant velocity, despite the fact that the random force averages out to zero. We show that the physical mechanism underlying such a phenomenon resembles the work of an escapement-type device in watches; upon reaching certain level, random fluctuations exercise a locking function creating the points of irreversibility in particle's trajectories such that the particle gets uncompensated displacements. Repeated (randomly) in each cycle, this process ultimately results in a random ballistic-type motion. In the overdamped limit, we work out simple analytical estimates for the particle's terminal velocity. Our analytical results are in a very good agreement with the Monte Carlo data.
dc.description7 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0312488
dc.identifierhttp://arxiv.org/abs/cond-mat/0312488
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/22956
dc.subjectStatistical Mechanics
dc.subjectSoft Condensed Matter
dc.titleMolecular motor with a build-in escapement device
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