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A Remark on the Kramers Problem

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Abstract

We present new point of view on the old problem, the Kramers problem. The passages from the Fokker–Planck equation to the Smoluchowski equation, including corrections to the Smoluchowski current, is treated through an asymptotic expansion of the solution of the stochastic dynamical equations. The case of an extremely weak force of friction is also discussed.

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Author notes

  1. Alex A. Samoletov

    Present address: Institute for Physics and Technology, National Academy of Sciences of the Ukraine, 340114, Donetsk, Ukraine

Authors and Affiliations

  1. Laboratoire de Physique, Ecole Normale Supérieure de Lyon, 69364, Lyon Cedex 07, France

    Alex A. Samoletov

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  1. Alex A. Samoletov
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Samoletov, A.A. A Remark on the Kramers Problem. Journal of Statistical Physics 96, 1351–1357 (1999). https://doi.org/10.1023/A:1004656820908

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  • DOI: https://doi.org/10.1023/A:1004656820908

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