Curvature as a Measure of the Thermodynamic Interaction
General Relativity and Quantum Cosmology
2015-05-20 v1
Abstract
We present a systematic and consistent construction of geometrothermodynamics by using Riemannian contact geometry for the phase manifold and harmonic maps for the equilibrium manifold. We present several metrics for the phase manifold that are invariant with respect to Legendre transformations and induce thermodynamic metrics on the equilibrium manifold. We review all the known examples in which the curvature of the thermodynamic metrics can be used as a measure of the thermodynamic interaction.
Keywords
Cite
@article{arxiv.1011.0122,
title = {Curvature as a Measure of the Thermodynamic Interaction},
author = {Hernando Quevedo and Alberto Sanchez and Safia Taj and Alejandro Vazquez},
journal= {arXiv preprint arXiv:1011.0122},
year = {2015}
}