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Electrical conductivity of a fully ionized plasma at high frequencies

Author

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  • Brouwer, H.H.
  • Schram, P.P.J.M.

Abstract

When the frequency of the electric field is of the order of, or larger than, the electron plasma frequency, kinetic equations are no longer valid. The Klimontovich equation linearized in the applied electric field is solved systematically by means of an expansion into powers of the square root of the plasma parameter. A general expression up to second order is obtained for the conductivity σ(ω, k). There exists a large overlap with the results of an earlier paper on the conductivity at low frequencies. This overlap is used to determine a cut-off parameter. The expression for the conductivity serves as a basis for the calculation of the influence of collisions on the dispersion relation for plasma waves. It appears that for small wavenumbers the influence of electron-ion collisions is dominant compared to electron-electron collisions.

Suggested Citation

  • Brouwer, H.H. & Schram, P.P.J.M., 1988. "Electrical conductivity of a fully ionized plasma at high frequencies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 147(3), pages 567-600.
  • Handle: RePEc:eee:phsmap:v:147:y:1988:i:3:p:567-600
    DOI: 10.1016/0378-4371(88)90171-9
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    References listed on IDEAS

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    1. Schram, P.P.J.M. & Lambert, A.J.D. & Brouwer, H.H. & Wielaard, D.J., 1986. "Dynamic screening and the electric conductivity of a fully ionized plasma," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 136(2), pages 600-606.
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    1. Brouwer, H.H. & Schram, P.P.J.M., 1987. "Electrical conductivity of a fully ionized plasma at low frequencies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 141(2), pages 589-601.

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