2004
DOI: 10.1103/physreve.69.021102
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Flashing ratchet model with high efficiency

Abstract: As a simple model of the Brownian motor, we consider hopping motion of a particle in a periodic asymmetric double-well potential which randomly switches between two states. The potential profiles of the states are identical but shifted by half a period. The current and the efficiency are explicitly calculated as functions of the parameters of the model, including also a load force. Such a flashing ratchet is shown to be particularly efficient, with the efficiency tending to unity when the highest peak of the p… Show more

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Cited by 63 publications
(73 citation statements)
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“…The suppression of backward current fraction is obvious in this figure. It is this suppression that leads to larger efficiency consistent with the observations made in [10]. The forward fraction of current increases monotonically with ⑀.…”
Section: Resultssupporting
confidence: 86%
See 1 more Smart Citation
“…The suppression of backward current fraction is obvious in this figure. It is this suppression that leads to larger efficiency consistent with the observations made in [10]. The forward fraction of current increases monotonically with ⑀.…”
Section: Resultssupporting
confidence: 86%
“…This is in similar spirit as in case of flashing ratchets proposed by Makhnovskii et al [10]. This is accomplished by applying temporally asymmetric but unbiased periodic forcings [12][13][14].…”
Section: Introductionmentioning
confidence: 93%
“…This is an important distinction between our model and other similar models previously reported in the literature [16,17,18,19], in which at least one of the lattice states is spatially asymmetric. For simplicity, we will restrict our study to the case N = 3, which is the smallest value of the period for which a non-zero steady directed motion is possible under the above conditions of spatial symmetry and periodicity [20].…”
Section: Description Of the Modelmentioning
confidence: 49%
“…This regime of unidirectional rotation is referred to as thermal, and a two-state kinetic analysis is well known (33)(34)(35). Averaging the hopping rates for a half cycle of the electric field to account for its sinusoidal variation yields fexp(Ϫ⌬V͞kT)[I 0 (Ϫ2E)͞kT) Ϫ L 0 (Ϫ2E)͞kT)] (I 0 and L 0 are the modified Bessel and Struve functions, respectively) (36).…”
Section: Fig 7 Potential Map V( T) and Trajectories Of Synchronousmentioning
confidence: 99%