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Optimal control of particle motion by means of a random force

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Abstract

The overdamped motion of a particle controlled by a time-correlated random force in a spatially periodic potential is studied theoretically. The correlation time of the force is essentially assumed to be much greater than the time required for the particle to traverse one period of the potential. It is demonstrated that a bimodal distribution of the force optimizes the control for power demand.

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Authors and Affiliations

  1. Saratov State University, ul. Universitetskaya 42, Saratov, 410601, Russia

    A. P. Nikitin

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  1. A. P. Nikitin
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__________

Translated from Pis’ma v Zhurnal Tekhnichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) Fiziki, Vol. 26, No. 12, 2000, pp. 64–69.

Original Russian Text Copyright © 2000 by Nikitin.

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Nikitin, A.P. Optimal control of particle motion by means of a random force. Tech. Phys. Lett. 26, 526–527 (2000). https://doi.org/10.1134/1.1262899

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  • DOI: https://doi.org/10.1134/1.1262899

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