Homogeneity as a bridge between Carathéodory and Gibbs

Abstract

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 Carathéodory's approach to thermodynamics and Gibbs' approach is established.

18 pages, uses RevteX

References in corpus (1)

• Notes on Quasi-Homogeneous Functions in Thermodynamics

Cited by in corpus (3)

• On the thermodynamics of the Hayward black hole
• Black Hole Thermodynamics in Carathéodory's Approach
• Constantin Carathéodory axiomatic approach and Grigory Perelman thermodynamics for geometric flows and cosmological solitonic solutions