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Relativistic ionized gases: Ohm and Fourier laws from Anderson and Witting model equation

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  • Kremer, G.M.
  • Patsko, C.H.

Abstract

The relativistic laws of Ohm and Fourier are determined for binary mixtures of electrons with protons or photons subjected to external electromagnetic fields, by using the Anderson and Witting model equation. General expressions for the electrical and thermal conductivities for relativistic degenerate ionized gas mixtures are determined and explicit expressions for the transport coefficients are given for the particular cases: (i) a non-relativistic mixture of protons and non-degenerate electrons; (ii) an ultra-relativistic mixture of photons and non-degenerate electrons; (iii) a non-relativistic mixture of protons and completely degenerate electrons; (iv) an ultra-relativistic mixture of photons and completely degenerate electrons and (v) a mixture of non-relativistic protons and ultra-relativistic completely degenerate electrons.

Suggested Citation

  • Kremer, G.M. & Patsko, C.H., 2003. "Relativistic ionized gases: Ohm and Fourier laws from Anderson and Witting model equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 322(C), pages 329-344.
    • Handle: RePEc:eee:phsmap:v:322:y:2003:i:c:p:329-344
    DOI: 10.1016/S0378-4371(02)02030-7
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    References listed on IDEAS

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    1. Cercignani, C. & Kremer, G.M., 2001. "Moment closure of the relativistic Anderson and Witting model equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 290(1), pages 192-202.
    2. van Erkelens, H. & van Leeuwen, W.A., 1977. "Relativistic Boltzmann theory for a plasma," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 89(2), pages 225-244.
    3. Hebenstreit, H., 1983. "Balance equations for a relativistic plasma," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 117(2), pages 631-652.
    4. Van Erkelens, H. & Van Leeuwen, W.A., 1977. "Relativistic Boltzmann theory for a plasma," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 89(1), pages 113-126.
    5. Samojeden, L.L. & Kremer, G.M., 2002. "The relativistic Burnett equations from a moment closure of the Anderson and Witting model equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 307(3), pages 354-374.
    6. Hebenstreit, H., 1983. "Balance equations for a relativistic plasma," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 117(2), pages 653-669.
    7. Struchtrup, Henning, 1998. "Projected moments in relativistic kinetic theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 253(1), pages 555-593.
    8. van Erkelens, H. & van Leeuwen, W.A., 1984. "Relativistic Boltzmann theory for a plasma," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 123(1), pages 72-98.
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