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Normal modes of a relativistic quantum plasma; The one-component plasma

Author

Listed:
  • van Weert, Ch.G.
  • Leermakers, M.C.J.
  • Hooiveld, A.J.W.
  • Mensonides, F.

Abstract

The normal modes of a relativistic electron gas are studied on the basis of the Boltzmann-Vlasov kinetic equation via a projection operator formalism. A general framework is constructed in which the fully relativistic Vlasov self-consistent force term appears as a symmetric operator acting in the Hilbert space of one-particle states. The plasma-dynamical equations are obtained by projecting onto the subspace consisting of the charge, energy and momentum densities, plus the nonconserved current density. The eigenmodes of these equations include two transverse and two longitudinal plasma modes, and one damped heat mode. They are explicitly calculated up to second order in the wave vector and to first order in the collision frequency.

Suggested Citation

  • van Weert, Ch.G. & Leermakers, M.C.J. & Hooiveld, A.J.W. & Mensonides, F., 1984. "Normal modes of a relativistic quantum plasma; The one-component plasma," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 127(3), pages 388-406.
    • Handle: RePEc:eee:phsmap:v:127:y:1984:i:3:p:388-406
    DOI: 10.1016/0378-4371(84)90033-5
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    References listed on IDEAS

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    1. van Weert, Ch.G., 1982. "Generalized hydrodynamics from relativistic kinetic theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 111(3), pages 537-552.
    2. Baus, Marc, 1981. "Simple coulomb liquids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 106(1), pages 189-203.
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    Cited by:

    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.
    3. Calkoen, Ch.J. & van Weert, Ch.G., 1986. "Collision brackets in quantum kinetic theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 135(2), pages 370-387.

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