Smoluchowski problem for metals with mirror-diffusive boundary conditions

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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 
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References

  1. 1.
    A. V. Latyshev and A. A. Yushkanov, Technical Phys., 49, 1391–1397 (2004).CrossRefADSGoogle Scholar
  2. 2.
    A. V. Latyshev and A. A. Yushkanov, Theor. Math. Phys., 142, 79–95 (2005).CrossRefMathSciNetGoogle Scholar
  3. 3.
    C. Cercignani, Theory and Application of the Boltzmann Equation, Scottish Academic, Edinburgh (1975).MATHGoogle Scholar
  4. 4.
    A. V. Latyshev, J. Appl. Math. Mech., 54, 480–484 (1990).MATHCrossRefMathSciNetGoogle Scholar
  5. 5.
    A. V. Latyshev and A. A. Yushkanov, JETP, 87, 518–526 (1998).CrossRefADSGoogle Scholar
  6. 6.
    E. M. Lifshitz and L. P. Pitaevskii, Physical Kinetics, Nauka, Moscow (1979); English transl.: Vol. 10 of Course of Theoretical Physics by L. D. Landau and E. M. Lifshitz, Pergamon, Oxford (1981).Google Scholar
  7. 7.
    A. A. Abrikosov, Introduction to the Theory of Normal Metals, Nauka, Moscow (1972); English transl., Acad. Press, New York (1972).Google Scholar
  8. 8.
    A. V. Latyshev and A. A. Yushkanov, Theor. Math. Phys., 134, 271–284 (2003).CrossRefMathSciNetGoogle Scholar
  9. 9.
    J. M. Keller, R. Fuchs, and K. L. Kliewer, Phys. Rev. B, 12, 2012–2029 (1975).CrossRefADSGoogle Scholar
  10. 10.
    M. Smoluchowski, Wiedemann Ann., 64, 101–130 (1897); Ann. Phys., 300, 101–130 (1898).Google Scholar

Copyright information

© MAIK/Nauka 2009

Authors and Affiliations

  1. 1.Moscow State Regional UniversityMoscowRussia

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