A Remark on the Kramers Problem |
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| Authors: | Samoletov Alex A. |
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| Affiliation: | (1) Laboratoire de Physique, Ecole Normale Supérieure de Lyon, 69364 Lyon Cedex 07, France;(2) Present address: Institute for Physics and Technology, National Academy of Sciences of the Ukraine, 340114 Donetsk, Ukraine |
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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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| Keywords: | Kramers problem Klyatskin– Novikov theory stochastic equation current |
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