Smoluchowski problem for metals with mirror-diffusive boundary conditions
Teoretičeskaâ i matematičeskaâ fizika, Tome 161 (2009) no. 1, pp. 95-108

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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.
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     author = {A. V. Latyshev and A. A. Yushkanov},
     title = {Smoluchowski problem for metals with mirror-diffusive boundary conditions},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
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     url = {http://geodesic.mathdoc.fr/item/TMF_2009_161_1_a7/}
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A. V. Latyshev; A. A. Yushkanov. Smoluchowski problem for metals with mirror-diffusive boundary conditions. Teoretičeskaâ i matematičeskaâ fizika, Tome 161 (2009) no. 1, pp. 95-108. http://geodesic.mathdoc.fr/item/TMF_2009_161_1_a7/