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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 2009 Volume 161, Number 1, Pages 95–108 (Mi tmf6422)

This article is cited in 3 papers

Smoluchowski problem for metals with mirror-diffusive boundary conditions

A. V. Latyshev, A. A. Yushkanov

Moscow State Region University, Moscow, Russia

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.

Keywords: metal, electron gas, temperature distribution, temperature gradient, mirror reflection coefficient.

Received: 08.12.2008

DOI: 10.4213/tmf6422


 English version:
Theoretical and Mathematical Physics, 2009, 161:1, 1403–1414

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© Steklov Math. Inst. of RAS, 2025