Homogeneity and thermodynamic identities in geometrothermodynamics
General Relativity and Quantum Cosmology
2017-04-05 v1 Mathematical Physics
math.MP
Abstract
We propose a classification of thermodynamic systems in terms of the homogeneity properties of their fundamental equations. Ordinary systems correspond to homogeneous functions and non-ordinary systems are given by generalized homogeneous functions. This affects the explicit form of the Gibbs-Duhem relation and Euler's identity. We show that these generalized relations can be implemented in the formalism of black hole geometrothermodynamics in order to completely fix the arbitrariness present in Legendre invariant metrics.
Keywords
Cite
@article{arxiv.1701.06702,
title = {Homogeneity and thermodynamic identities in geometrothermodynamics},
author = {Hernando Quevedo and Maria N. Quevedo and A. Sanchez},
journal= {arXiv preprint arXiv:1701.06702},
year = {2017}
}