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Эта публикация цитируется в 12 научных статьях (всего в 12 статьях)
РАЗНОЕ
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
Аннотация:
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.
Поступила в редакцию: 20.02.2017 Исправленный вариант: 02.03.2017
Образец цитирования:
V. M. Rozenbaum, I. V. Shapochkina, S. H. Lin, L. I. Trakhtenberg, “A theory of slightly fluctuating ratchets”, Письма в ЖЭТФ, 105:8 (2017), 521–522; JETP Letters, 105:8 (2017), 542–547
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/jetpl5251 https://www.mathnet.ru/rus/jetpl/v105/i8/p521
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