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Зворотньо-поступальний інерційний броунівський мотор

We present a theory of an inertial reciprocating Brownian motor that is valid for an arbitrary particle mass as for as arbitrary frequencies of dichotomic fluctuations of potential energy. The exact solution of Klein-Kramers equation with fluctuating parabolic potentials is derived that gives analyt...

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Date:2014
Author Affiliations:
  • T. E. Korochkova — Інститут хімії поверхні ім. О.О. Чуйка Національної академії наук України
  • I. V. Shapochkina — Білоруський державний університет
  • V. M. Rozenbaum — Інститут хімії поверхні ім. О.О. Чуйка Національної академії наук України
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Main Authors: Korochkova, T. E., Shapochkina, I. V., Rozenbaum, V. M.
Format: Article
Language:Russian
Published: Chuiko Institute of Surface Chemistry National Academy of Sciences of Ukraine 2014
Online Access:https://surfacezbir.com.ua/index.php/surface/article/view/534
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Journal Title:Surface
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Summary:We present a theory of an inertial reciprocating Brownian motor that is valid for an arbitrary particle mass as for as arbitrary frequencies of dichotomic fluctuations of potential energy. The exact solution of Klein-Kramers equation with fluctuating parabolic potentials is derived that gives analytical expressions for the amplitude of reciprocation motion as well as the mean velocity of this motion in dichotomic states. We demonstrate that inertia accounting is essentially important for deriving of accurate frequency dependencies of the main Brownian motor characteristics.  

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