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Adiabatic Brownian ratchets with the inclusion of inertia

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Abstract

Inertial corrections to the drift velocity of a Brownian particle have been calculated for two main classes of Brownian ratchets operating in the adiabatic regime of fluctuations of the potential energy: first, the stationary periodic potential and dichotomic fluctuations of an external force with zero average value (rocking ratchet) and, second, dichotomic fluctuations of the periodic potential itself. It has been shown that, in contrast to passive transport at which the inertial correction always reduces the effective mobility and diffusion coefficients, inertial corrections for Brownian ratchets can play a constructive role, increasing the drift velocity at least at high temperatures.

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Authors and Affiliations

  1. Institute of Surface Chemistry, National Academy of Sciences of Ukraine, ul. generala Naumova 17, Kyiv, 03164, Ukraine

    V. M. Rozenbaum & T. E. Korochkova

  2. Belarusian State University, pr. Nezavisimosti 4, Minsk, 220030, Belarus

    I. V. Shapochkina

Authors
  1. V. M. Rozenbaum
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  2. I. V. Shapochkina
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  3. T. E. Korochkova
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Corresponding author

Correspondence to V. M. Rozenbaum.

Additional information

Original Russian Text © V.M. Rozenbaum, I.V. Shapochkina, T.E. Korochkova, 2013, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2013, Vol. 98, No. 9, pp. 637–641.

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Rozenbaum, V.M., Shapochkina, I.V. & Korochkova, T.E. Adiabatic Brownian ratchets with the inclusion of inertia. Jetp Lett. 98, 568–572 (2014). https://doi.org/10.1134/S0021364013220086

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