Tolman's law in linear irreversible thermodynamics: a kinetic theory approach

Abstract

In this paper it is shown that Tolman's law can be derived from relativistic kinetic theory applied to a simple fluid in a BGK-like approximation. Using this framework, it becomes clear that the contribution of the gravitational field can be viewed as a cross effect that resembles the so-called \emph{Thomson effect} in irreversible thermodynamics. A proper generalization of Tolman's law in an inhomogeneous medium is formally established based on these grounds.

arXiv comment9 pages, one figure

References in corpus (3)

• Relativistic transport theory for simple fluids at first order in the gradients: a stable picture
• On the nature of the so-called generic instabilities in dissipative relativistic hydrodynamics
• Heat conduction in relativistic neutral gases revisited

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