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The relativistic Burnett equations from a moment closure of the Anderson and Witting model equation

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  • Samojeden, L.L.
  • Kremer, G.M.

Abstract

The Burnett constitutive equations for the dynamic pressure, heat flux and pressure deviator of a relativistic gas are calculated from a moment closure of the Anderson and Witting model equation. The transport coefficients obtained are compared with those that follow by the use of the full Boltzmann equation. The comparison shows that all transport coefficients have the same behavior in the ultra-relativistic and in the relativistic regime up to ζ=mc2/(kT)≈0.5.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:307:y:2002:i:3:p:354-374
    DOI: 10.1016/S0378-4371(01)00625-2
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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. Anderson, J.L. & Payne, A.C., 1976. "The relativistic Burnett equations and sound propagation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 85(2), pages 261-286.
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    Cited by:

    1. Yano, Ryosuke & Suzuki, Kojiro & Kuroda, Hisayasu, 2007. "Numerical analysis of relativistic shock layer problem by using relativistic Boltzmann–kinetic equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 381(C), pages 8-21.
    2. 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.

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    1. 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.

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