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Generalized relativistic Chapman–Enskog solution of the Boltzmann equation

Author

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  • García-Perciante, A.L.
  • Sandoval-Villalbazo, A.
  • García-Colín, L.S.

Abstract

The Chapman–Enskog method of solution of the relativistic Boltzmann equation is generalized in order to admit a time-derivative term associated to a thermodynamic force in its first order solution. Both existence and uniqueness of such a solution are proved based on the standard theory of integral equations. The mathematical implications of the generalization introduced here are thoroughly discussed regarding the nature of heat as chaotic energy transfer in the context of relativity theory.

Suggested Citation

  • García-Perciante, A.L. & Sandoval-Villalbazo, A. & García-Colín, L.S., 2008. "Generalized relativistic Chapman–Enskog solution of the Boltzmann equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(21), pages 5073-5079.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:21:p:5073-5079
    DOI: 10.1016/j.physa.2008.05.012
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    References listed on IDEAS

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    1. Sandoval-Villalbazo, Alfredo & Garcı́a-Colı́n, L.S, 2000. "The relativistic kinetic formalism revisited," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 278(3), pages 428-439.
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