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NONLINEAR DYNAMICS
Tunneling mechanism for changing the motion direction of a pulsating ratchet. Temperature effect
V. M. Rozenbaumab, I. V. Shapochkinaab, L. I. Trakhtenbergcd a Belarusian State University, Minsk, 220050 Belarus
b Dalian University of Technology and Belarusian State University Joint Institute, Dalian University of Technology,
Dalian, 116024 People’s Republic of China
c Moscow State University, Moscow, 119991 Russia
d Semenov Institute of Chemical Physics, Russian Academy of Sciences, Moscow, 119991 Russia
Abstract:
A pulsating ratchet with a spatially periodic double-well potential profile undergoing shift fluctuations for half a period is considered. The motion direction in such a ratchet is determined by the probability of overcoming which of the barriers surrounding the shallow potential well is greater. At relatively high temperatures, in accordance with the Arrhenius law, the probabilities of overcoming the barriers are determined by their heights, and at temperatures close to absolute zero, when the ratchet moves according to the tunnel mechanism, the barrier shapes are also important. Therefore, for narrow high and low wide barriers, the overcoming mechanism may turn out to be different and, moreover, dependent on temperature. As a result, a temperature-induced change in the direction of the ratchet motion is possible. A simple interpolation theory is presented to illustrate this effect. Simple criteria are formulated for the shape of the potential relief, using which one can experimentally observe motion reversal.
Received: 18.07.2023 Revised: 26.07.2023 Accepted: 30.07.2023
Citation:
V. M. Rozenbaum, I. V. Shapochkina, L. I. Trakhtenberg, “Tunneling mechanism for changing the motion direction of a pulsating ratchet. Temperature effect”, Pis'ma v Zh. Èksper. Teoret. Fiz., 118:5 (2023), 369–375; JETP Letters, 118:5 (2023), 369–375
Linking options:
https://www.mathnet.ru/eng/jetpl7033 https://www.mathnet.ru/eng/jetpl/v118/i5/p369
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Abstract page: | 51 | References: | 16 | First page: | 6 |
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