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Singularities of the Heat Conductivity in Thin Dielectric Slabs

  • J. Czerwonko
  • M. L. Kaganov
Chapter

Abstract

Usually charge transport in thin metallic slabs (i.e., in macroscopic samples much thinner than the electron mean free path (m.f.p.)) is considered in the relaxation time approximation1 However, for thin slabs we have shown2 that accounting for the gain term of the collision integral for impurity scattering does not alter the two leading terms of the asymptotic expansion3,4 of the conductivity coefficient. It seems interesting to consider a similar question for the low-temperature heat conductivity of a thin slab of a dielectric. In this case, phonons are the main heat carriers.

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References

  1. [1]
    K. Fuchs, Proc. Camb. Phil. Soc. 34, 100 (1938).ADSCrossRefGoogle Scholar
  2. [2]
    J. Czerwonko, Z. Phys. B80, 225 (1990).ADSCrossRefGoogle Scholar
  3. [3]
    J. Czerwonko, Physica A174, 438 (1991).ADSGoogle Scholar
  4. [4]
    J. Czerwonko, M. I. Kaganov and G. Ya. Lyubarskii, in this volume,Google Scholar
  5. [5]
    V. L Gurevich, Transport in Phonon Systems”, North-Holland, Amsterdam (1986).Google Scholar
  6. [6]
    R. E. Peierls, Ann. d. Phys. 3, 1055 (1929).ADSCrossRefGoogle Scholar
  7. [7]
    I. Ya. Pomeranchuk, J. Phys. USSR 4, 259 (1941).Google Scholar
  8. [8]
    H. J. Maris, Phonon Focusing, in: “Nonequilibrium Phonons in Nonmetallic Crystals”, W. Eisenmenger and A. A. Kaplyanskii, eds., Elsevier, Amsterdam (1986).Google Scholar
  9. [9]
    I. M. Lifshitz, M. Ya. Azbel and M. I. Kaganov, “Electron Theory of Metals”, Consultants Bureau, New York (1973).Google Scholar
  10. [10]
    M. I. Kaganov, D. V. Kamshilin and A. A. Nurmagambetov, Fiz. Niz. Temp. 15, 289 (1989). [Sov. J. Temp. Phys. 15, 162 (1989)].Google Scholar
  11. [11]
    R. N. Gurzhi and A. O. Maksimov, Fiz. Nizk. Temp. 3, 356 (1977).Google Scholar

Copyright information

© Plenum Press, New York 1994

Authors and Affiliations

  • J. Czerwonko
    • 1
  • M. L. Kaganov
    • 2
  1. 1.Institute of PhysicsTechnical University of WroclawWroclawPoland
  2. 2.P. L. Kapitza Institute for Physical ProblemsMoscowRussia

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