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.
@article{TMF_2009_161_1_a7,
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},
pages = {95--108},
publisher = {mathdoc},
volume = {161},
number = {1},
year = {2009},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2009_161_1_a7/}
}
TY - JOUR AU - A. V. Latyshev AU - A. A. Yushkanov TI - Smoluchowski problem for metals with mirror-diffusive boundary conditions JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2009 SP - 95 EP - 108 VL - 161 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2009_161_1_a7/ LA - ru ID - TMF_2009_161_1_a7 ER -
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/