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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2017, Volume 105, Issue 8, Pages 521–522
DOI: https://doi.org/10.7868/S0370274X17080136 (Mi jetpl5251) 		 
This article is cited in 12 scientific papers (total in 12 papers)

MISCELLANEOUS

A theory of slightly fluctuating ratchets

V. M. Rozenbaumabc, I. V. Shapochkinacad, S. H. Linac, L. I. Trakhtenbergef

a Department of Applied Chemistry, National Chiao Tung University, 1001 Hsinchu, Taiwan
b Chuiko Institute of Surface Chemistry, National Academy of Sciences of Ukraine, 03164 Kiev, Ukraine
c Institute of Atomic and Molecular Sciences, Academia Sinica, Taipei 106, Taiwan
d Department of Physics, Belarusian State University, 220050 Minsk, Belarus
e Semenov Institute of Chemical Physics, Russian Academy of Sciences, 119991 Moscow, Russia
f State Scientific Center, Russian Federation, Karpov Institute of Physical Chemistry, 105064 Moscow, Russia
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DOI: https://doi.org/10.7868/S0370274X17080136
Abstract: We consider a Brownian particle moving in a slightly fluctuating potential. Using the perturbation theory on small potential fluctuations, we derive a general analytical expression for the average particle velocity valid for both flashing and rocking ratchets with arbitrary, stochastic or deterministic, time dependence of potential energy fluctuations. The result is determined by the Green's function for diffusion in the time-independent part of the potential and by the features of correlations in the fluctuating part of the potential. The generality of the result allows describing complex ratchet systems with competing characteristic times; these systems are exemplified by the model of a Brownian photomotor with relaxation processes of finite duration.
Funding agency Grant number
Russian Foundation for Basic Research 15-59-32405_RT-omi
Ministry of Science and Technology, Taiwan MOST104-2923-M-009-001
L.I.T. and S.H.L. thank the RFBR and TMST (Grants # 15-59-32405 RT-omi and MOST104-2923-M-009-001-) for partial supports.
Received: 20.02.2017
Revised: 02.03.2017
English version:
Journal of Experimental and Theoretical Physics Letters, 2017, Volume 105, Issue 8, Pages 542–547
DOI: https://doi.org/10.1134/S0021364017080069
Bibliographic databases:
Document Type: Article
Language: English
Citation: V. M. Rozenbaum, I. V. Shapochkina, S. H. Lin, L. I. Trakhtenberg, “A theory of slightly fluctuating ratchets”, Pis'ma v Zh. Èksper. Teoret. Fiz., 105:8 (2017), 521–522; JETP Letters, 105:8 (2017), 542–547
Citation in format AMSBIB
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Письма в Журнал экспериментальной и теоретической физики Pis'ma v Zhurnal Иksperimental'noi i Teoreticheskoi Fiziki
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