FORCE-DEPENDENT MOBILITY AND ENTROPIC RECTIFICATION IN TUBES OF PERIODICALLY VARYING GEOMETRYстатья
Статья опубликована в высокорейтинговом журнале
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Дата последнего поиска статьи во внешних источниках: 3 мая 2017 г.
Аннотация:We investigate transport of point Brownian particles in a tube formed by identical periodic compartments
of varying diameter, focusing on the effects due to the compartment asymmetry. The paper
contains two parts. First, we study the force-dependent mobility of the particle. The mobility is
a symmetric non-monotonic function of the driving force, F, when the compartment is symmetric.
Compartment asymmetry gives rise to an asymmetric force-dependent mobility, which remains
non-monotonic when the compartment asymmetry is not too high. The F-dependence of the mobility becomes monotonic in tubes formed by highly asymmetric compartments. The transition of the F-dependence of the mobility from non-monotonic to monotonic behavior results in important consequences for the particle motion under the action of a time-periodic force with zero mean, which are discussed in the second part of the paper: In a tube formed by moderately asymmetric compartments, the particle under the action of such a force moves with an effective drift velocity that vanishes at small and large values of the force amplitude having a maximum in between. In a tube formed by highly asymmetric compartments, the effective drift velocity monotonically increases with the amplitude of the driving force and becomes unboundedly large as the amplitude tends to infinity.