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Collision brackets in quantum kinetic theory

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  • van Weert, Ch.G.
  • Calkoen, Ch.J.

Abstract

It is shown that the collision bracket of the linearized quasiparticle Boltzmann equation can be reduced to a five-fold integral expression. It generalizes earlier work in so far that it accomodates an energy dependent effective mass and allows the calculation of transport coefficients for quasiparticle systems at finite temperature. As an example, the thermal conductivity of liquid 3He is calculated for a simple one-Landau parameter model for various pressures. The result, parametrized by a single reduced temperature, compares favourably with Greywall's experimental data.

Suggested Citation

  • van Weert, Ch.G. & Calkoen, Ch.J., 1986. "Collision brackets in quantum kinetic theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 138(3), pages 415-432.
    • Handle: RePEc:eee:phsmap:v:138:y:1986:i:3:p:415-432
    DOI: 10.1016/0378-4371(86)90025-7
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    References listed on IDEAS

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    1. van Weert, Ch.G. & Leermakers, M.C.J. & Schakel, A.M.J., 1986. "Landau theory of Fermi liquids reformulated," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 138(3), pages 404-414.
    2. Van Weert, Ch.G. & Leermakers, M.C.J., 1985. "Statistical quasi-particles and the thermodynamics of hot dense matter," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 131(3), pages 465-484.
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    1. van Weert, Ch.G. & Leermakers, M.C.J. & Schakel, A.M.J., 1986. "Landau theory of Fermi liquids reformulated," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 138(3), pages 404-414.
    2. Leermakers, M.C.J. & Van Weert, Ch.G., 1986. "Landau kinetic theory of quark-gluon matter," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 134(3), pages 577-597.

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