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Molecular motor with a build-in escapement device | | G.Oshanin
; J.Klafter
; M.Urbakh
; | | Date: |
18 Dec 2003 | | Subject: | Statistical Mechanics; Soft Condensed Matter | cond-mat.stat-mech cond-mat.soft | | Affiliation: | LPTL, University of Paris 6, France; School of Chemistry, Tel Aviv University, Israel | | Abstract: | We 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. | | Source: | arXiv, cond-mat/0312488 | | Services: | Forum | Review | PDF | Favorites | |
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