Representation invariant geometrothermodynamics: applications to ordinary thermodynamic systems

DOI10.1016/j.geomphys.2014.03.001zbMath1293.80002arXiv1303.1428OpenAlexW2963850314MaRDI QIDQ2448256

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

Publication date: 30 April 2014

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.1428

zbMATH Keywords

geometrythermodynamicsphase transitionsChaplygin gasideal gasvan der Waals fluidone-dimensional Ising modeldark fluidconformal structure of thermodynamicsLegendre symmetrythermodynamic representation

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Applications of global differential geometry to the sciences (53C80) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Classical and relativistic thermodynamics (80A10) Astrophysical cosmology (85A40)

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Cites Work

• Thermodynamical metrics and black hole phase transitions
• Submanifolds in the thermodynamic phase space
• Geometry of black hole thermodynamics
• Feedback equivalence of input-output contact systems
• Flat information geometries in black hole thermodynamics
• Geometrothermodynamics
• The conformal metric structure of Geometrothermodynamics
• Information geometry in vapour–liquid equilibrium
• Riemannian geometry of contact and symplectic manifolds
• Unnamed Item
• Unnamed Item