Smoluchowski problem for metals with mirror-diffusive boundary conditions
Teoretičeskaâ i matematičeskaâ fizika, Tome 161 (2009) no. 1, pp. 95-108 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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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/

[1] A. V. Latyshev, A. A. Yushkanov, ZhTF, 74:11 (2004), 1–7 | DOI

[2] A. V. Latyshev, A. A. Yushkanov, TMF, 142:1 (2005), 93–111 | DOI | MR | Zbl

[3] K. Cherchinyani, Teoriya i prilozheniya uravneniya Boltsmana, Mir, M., 1978 | MR | MR | Zbl

[4] A. V. Latyshev, PMM, 54:4 (1990), 581–586 | DOI | MR | Zbl

[5] A. V. Latyshev, A. A. Yushkanov, ZhETF, 114:3 (1998), 956–971 | DOI

[6] L. D. Landau, E. M. Lifshits, Teoreticheskaya fizika, T. 10, Fizicheskaya kinetika, Nauka, M., 1979 | MR | MR | Zbl

[7] A. A. Abrikosov, Vvedenie v teoriyu normalnykh metallov, Nauka, M., 1972

[8] A. V. Latyshev, A. A. Yushkanov, TMF, 134:2 (2003), 310–324 | DOI | MR | Zbl

[9] J. M. Keller, R. Fuchs, K. L. Kliewer, Phys. Rev. B, 12:6 (1975), 2012–2029 | DOI

[10] M. Smoluchowski, Wiedemann Ann., 64 (1897), 101–130 ; Ann. Phys., 300:1 (1898), 101–130 | Zbl | DOI