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Theory of slightly fluctuating ratchets

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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.

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Authors and Affiliations

  1. Institute of Atomic and Molecular Sciences, Academia Sinica, Taipei, 106, Taiwan

    V. M. Rozenbaum, I. V. Shapochkina & S. H. Lin

  2. Department of Applied Chemistry, National Chiao Tung University, 1001, Hsinchu, Taiwan

    V. M. Rozenbaum, I. V. Shapochkina & S. H. Lin

  3. Chuiko Institute of Surface Chemistry, National Academy of Sciences of Ukraine, Kiev, 03164, Ukraine

    V. M. Rozenbaum

  4. Department of Physics, Belarusian State University, Minsk, 220050, Belarus

    I. V. Shapochkina

  5. Semenov Institute of Chemical Physics, Russian Academy of Sciences, Moscow, 119991, Russia

    L. I. Trakhtenberg

  6. State Scientific Center, Karpov Institute of Physical Chemistry, Moscow, 105064, Russia

    L. I. Trakhtenberg

Authors
  1. V. M. Rozenbaum
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  2. I. V. Shapochkina
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  3. S. H. Lin
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  4. L. I. Trakhtenberg
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Corresponding author

Correspondence to V. M. Rozenbaum.

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Rozenbaum, V.M., Shapochkina, I.V., Lin, S.H. et al. Theory of slightly fluctuating ratchets. Jetp Lett. 105, 542–547 (2017). https://doi.org/10.1134/S0021364017080069

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  • DOI: https://doi.org/10.1134/S0021364017080069

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