The conformal metric structure of Geometrothermodynamics

DOI10.1063/1.4795136zbMath1287.80002arXiv1302.6928OpenAlexW3098699789MaRDI QIDQ5397749

Francisco Nettel, Hernando Quevedo, Alessandro Bravetti, Cesar S. Lopez-Monsalvo

Publication date: 24 February 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.6928

zbMATH Keywords

invarianceLegendre transformationthermodynamic potentialinduced metricextensive variablesintensive variableschange of fundamental representationstandard equilibrium thermodynamics

Mathematics Subject Classification ID

Related Items (13)

Geometrical method for thermal instability of nonlinearly charged BTZ black holes ⋮ Conformal gauge transformations in thermodynamics ⋮ Infinitesimal Legendre symmetry in the Geometrothermodynamics programme ⋮ Statistical origin of Legendre invariant metrics ⋮ Dark energy from geometrothermodynamics ⋮ Thermodynamic length, geometric efficiency and Legendre invariance ⋮ Geometrothermodynamics of Myers-Perry black holes ⋮ Two-dimensional Einstein manifolds in geometrothermodynamics ⋮ Geometric description of chemical reactions ⋮ Representation invariant geometrothermodynamics: applications to ordinary thermodynamic systems ⋮ On “The conformal metric structure of geometrothermodynamics”: Generalizations ⋮ Contact symmetries and Hamiltonian thermodynamics ⋮ Thermodynamic geodesics of a Reissner Nordström black hole

Cites Work

• Geometrothermodynamics of five dimensional black holes in Einstein-Gauss-Bonnet theory
• Phase transitions in geometrothermodynamics
• Submanifolds in the thermodynamic phase space
• Geometrothermodynamics
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