Generalized Relativistic Chapman-Enskog Solution of the Boltzmann Equation

Details Generalized Relativistic Chapman-Enskog Solution of the Boltzmann Equation Generalized Relativistic Chapman-Enskog Solution of the Boltzmann Equation

2007-08-23

arxiv.org/abs/0708.3252v2

PhysicaA387:5073-5079,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, no figures

Scientific paper

10.1016/j.physa.2008.05.012

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 here introduced are thoroughly discussed regarding the nature of heat as chaotic energy transfer in the context of relativity theory.

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