Riemannian geometry and stability of thermodynamical equilibrium systems

DOI10.1088/0305-4470/23/4/017zbMath0724.53052OpenAlexW1983596892WikidataQ115293651 ScholiaQ115293651MaRDI QIDQ5895420

Henryk Janyszek

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1088/0305-4470/23/4/017

zbMATH Keywords

stabilityscaling lawscritical pointsstatistical thermodynamicsmagnetic systemsmagnetic modelsideal and real gasesmultiparameter Gibbs distributioninteraction of spins

Mathematics Subject Classification ID

Foundations of equilibrium statistical mechanics (82B03) Applications of local differential geometry to the sciences (53B50)

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Thermodynamic curvature of the Schwarzschild-AdS black hole and Bose condensation ⋮ Reparametrizations and metric structures in thermodynamic phase space ⋮ Thermodynamic geometry and phase transitions in Kerr-Newman-AdS black holes ⋮ Extrinsic and intrinsic curvatures in thermodynamic geometry ⋮ On the thermodynamic geometry and critical phenomena of AdS black holes ⋮ Geometry of distributions associated with Tsallis statistics and properties of relative entropy minimization ⋮ Effect of dark energy in geometrothermodynamics and phase transitions of regular Bardeen AdS black hole ⋮ Riemannian geometry of equilibrium thermodynamics in a liquid mixture

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