Geometrothermodynamics as a singular conformal thermodynamic geometry
General Relativity and Quantum Cosmology
2020-03-17 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
In this letter, we first redefine our formalism of the thermodynamic geometry introduced in [1,2] by changing coordinates of the thermodynamic space by means of Jacobian matrices. We then show that the geometrothermodynamics (GTD) is conformally related to this new formalism of the thermodynamic geometry. This conformal transformation is singular at unphysical points were generated in GTD metric. Therefore, working with our metric neatly excludes all unphysical points without imposing any constraints.
Cite
@article{arxiv.1905.01733,
title = {Geometrothermodynamics as a singular conformal thermodynamic geometry},
author = {Seyed Ali Hosseini Mansoori and Behrouz Mirza},
journal= {arXiv preprint arXiv:1905.01733},
year = {2020}
}
Comments
Accepted by Physics Letters B (PLB), The Title has been changed in new version, 7 pages, 4 figures