Generalized relativistic Chapman–Enskog solution of the Boltzmann equation

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

Physica A: Statistical Mechanics and its Applications, 2008, vol. 387, issue 21, 5073-5079

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.

Keywords: Relativistic kinetic theory; Chapman–Enskog method; Heat transfer (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:387:y:2008:i:21:p:5073-5079

DOI: 10.1016/j.physa.2008.05.012

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