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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2008, Volume 88, Issue 5, Pages 391–395
(Mi jetpl222)
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This article is cited in 39 scientific papers (total in 39 papers)
MISCELLANEOUS
High-temperature brownian motors: Deterministic and stochastic fluctuations of a periodic potential
V. M. Rozenbaum Chuiko Institute of Surface Chemistry, National Academy of Sciences of Ukraine, Kiev, 03164, Ukraine
Abstract:
The high-temperature unidirectional motion of a Brownian particle with time-dependent potential energy described by a spatially asymmetric periodic function is considered. A general formula derived for the mean velocity ν of such a motion is specified for dichotomic deterministic and Markovian stochastic processes. In both cases, ν increases linearly for low-frequencies γ of potential-energy fluctuations and reaches maxima for γ about the inverse time of diffusion by the spatial period of the potential. The behaviors of ν for large γ values are different in these cases: ν ∝ γ−2 and ν ts γ−1 for the deterministic and stochastic processes, respectively. It is shown that the direction of the motor motion depends on the relative lifetimes of each of the dichotomic-process states if the amplitude of the potential-energy fluctuations is fairly large in comparison with the mean value.
Received: 15.05.2008 Revised: 17.07.2008
Citation:
V. M. Rozenbaum, “High-temperature brownian motors: Deterministic and stochastic fluctuations of a periodic potential”, Pis'ma v Zh. Èksper. Teoret. Fiz., 88:5 (2008), 391–395; JETP Letters, 88:5 (2008), 342–346
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https://www.mathnet.ru/eng/jetpl222 https://www.mathnet.ru/eng/jetpl/v88/i5/p391
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Abstract page: | 399 | Full-text PDF : | 146 | References: | 46 |
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