Homogeneity as a bridge between Carathéodory and Gibbs

Details Homogeneity as a bridge between Carathéodory and Gibbs Homogeneity as a bridge between Carathéodory and Gibbs

2002-10-07

arxiv.org/abs/math-ph/0210011v1

Physics

Mathematical Physics

18 pages, uses RevteX

Scientific paper

In this paper we show that the homogeneity of the Pfaffian form representing
the infinitesimal heat exchanged reversibly $\delta Q_{rev}$ by a thermodynamic
system allows to find immediately and explicitly an integrating factor. An
interesting bridge between Carath\'eodory's approach to thermodynamics and
Gibbs' approach is established.

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