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arXiv:1802.07650math-ph

Relativistic Entropy Inequality

Hans Wilhelm Alt

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Abstract

In this paper we apply the entropy principle to the relativistic version of the differential equations describing a standard fluid flow, that is, the equations for mass, momentum, and a system for the energy matrix. These are the second order equations which have been introduced in [3]. Since the principle also says that the entropy equation is a scalar equation, this implies, as we show, that one has to take a trace in the energy part of the system. Thus one arrives at the relativistic mass-momentum-energy system for the fluid. In the procedure we use the well-known Liu-Müller sum [10] in order to deduce the Gibbs relation and the residual entropy inequality.

arXiv comments
30 pages
Journal reference
Advances in Mathematical Sciences and Applications, Vol. 26, No. 1 (2017), pp. 243-272
DOI
Subjects
math-phMathematical Physics

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  1. In the fundamental physics of the world, there is neither space nor time 1 comment

    • Actually, yes that book doesn't mention that entropy is Lorentz invariant, but I think there are papers on it [0]. However it doesn't actually look like they reach a decisive conclusion - it is still for debate. [0] http://iopscience.iop.org/article/10.1088/0305-4470/38/13/00...…

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