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Smoluchowski problem for metals with mirror-diffusive boundary conditions

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Abstract

We solve the Smoluchowski problem for the distribution of electron-gas temperatures near the metal surface in the presence of a temperature gradient normal to the surface. We assume mirror-diffusive scattering of electrons by the metal boundary. We develop a special solution method using the Neumann series.

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Authors and Affiliations

  1. Moscow State Regional University, Moscow, Russia

    A. V. Latyshev & A. A. Yushkanov

Authors
  1. A. V. Latyshev
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  2. A. A. Yushkanov
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Correspondence to A. V. Latyshev.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 161, No. 1, pp. 95–108, October, 2009.

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Latyshev, A.V., Yushkanov, A.A. Smoluchowski problem for metals with mirror-diffusive boundary conditions. Theor Math Phys 161, 1403–1414 (2009). https://doi.org/10.1007/s11232-009-0126-z

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  • DOI: https://doi.org/10.1007/s11232-009-0126-z

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