Smolukhovsky problem for electrons in a metal
Teoretičeskaâ i matematičeskaâ fizika, Tome 142 (2005) no. 1, pp. 93-111 Cet article a éte moissonné depuis la source Math-Net.Ru

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We find an analytic solution of the Smolukhovsky problem of the temperature and electric potential jumps in a metal under the action of the temperature gradient normal to the surface. We take the character of the electron energy accommodation on the surface into account. We find the analytic expressions for the electric field generated by heat processes, for the temperature distribution, and for the electric potential.
Keywords: temperature jump, electric potential, heat flow, accommodation coefficient.
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A. V. Latyshev; A. A. Yushkanov. Smolukhovsky problem for electrons in a metal. Teoretičeskaâ i matematičeskaâ fizika, Tome 142 (2005) no. 1, pp. 93-111. http://geodesic.mathdoc.fr/item/TMF_2005_142_1_a9/

[1] K. Cherchinyani, Teoriya i prilozheniya uravneniya Boltsmana, Mir, M., 1978

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

[3] A. V. Latyshev, A. A. Yushkanov, ZhETF, 114:3(9) (1998), 956

[4] L. D. Landau, E. M. Lifshits, Fizicheskaya kinetika, Nauka, M., 1979

[5] A. V. Latyshev, A. A. Yushkanov, ZhTF, 73:7 (2003), 37

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

[7] Dzh. Zaiman, Elektrony i fonony, IL, M., 1962

[8] V. V. Vedenyapin, Kineticheskie uravneniya Boltsmana i Vlasova, Fizmatlit, M., 2001

[9] C. E. Siewert, F. Sharipov, Phys. Fluids, 14:12 (2002), 4123 | DOI | MR | Zbl

[10] M. M. R. Williams, Mathematical Methods in Particle Transport Theory, Wiley, New York, 1971

[11] V. S. Vladimirov, V. V. Zharinov, Uravneniya matematicheskoi fiziki, Nauka, M., 2000 | MR

[12] K. Keiz, P. Tsvaifel, Lineinaya teoriya perenosa, Mir, M., 1972

[13] I. K. Lifanov, Metod singulyarnykh integralnykh uravnenii i chislennyi eksperiment (v matematicheskoi fizike, aerodinamike, teorii uprugosti i difraktsii voln), TOO “Yanus”, M., 1995 | MR | Zbl

[14] F. D. Gakhov, Kraevye zadachi, Nauka, M., 1977 | MR

[15] L. D. Landau, E. M. Lifshits, Statisticheskaya fizika, Ch. 1, Nauka, M., 1976 | MR