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Renormalization of boundary conditions for distribution functions of quasiparticles obeying quantum statistics at interfaces between crystalline grains

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Czechoslovak Journal of Physics B Aims and scope

Abstract

Boundary conditions for distribution functions of quasiparticles scattered by an interface between two crystalline grains are presented. In contradistinction to former formulations where the Maxwell-Boltzmann statistics was considered, the present boundary conditions take into account the quantum (Fermi-Dirac or Bose-Einstein) statistics of the quasiparticles. Provided that small deviations from the thermodynamical equilibrium only are present, the boundary conditions are linearized, and then their “renormalization” is investigated in case of the elastic scattering. The final results of the renormalization, which are obtained for a simplified model of an interface, suggest that the portion of the Fermi (Bose)-quasiparticles reflected or transmitted specularly is decreased (increased) in comparison with the case of quasiparticles obeying the Maxwell-Boltzmann statistics.

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Authors and Affiliations

  1. Institute of Physics, Slovak Acad. Sci., Bratislava, DÚbravská cesta, 899 30, Bratislava, Czechoslovakia

    M. Grendel

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  1. M. Grendel
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Additional information

This paper involves some substantial parts of the author's thesis “Kinetické javy na rozhraniach zrn v kove”, Comenius University, Bratislava 1978.

The author thanks Dr. V. Bezák for reading the manuscript and for helpful comments.

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Grendel, M. Renormalization of boundary conditions for distribution functions of quasiparticles obeying quantum statistics at interfaces between crystalline grains. Czech J Phys 31, 416–432 (1981). https://doi.org/10.1007/BF01679742

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  • DOI: https://doi.org/10.1007/BF01679742

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