On the Riemannian metrical structure in the classical statistical equilibrium thermodynamics

DOI10.1016/0034-4877(86)90036-4zbMath0637.53085OpenAlexW2044522051WikidataQ115364228 ScholiaQ115364228MaRDI QIDQ1098437

Henryk Janyszek

Publication date: 1986

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(86)90036-4

zbMATH Keywords

statistical thermodynamicsideal gasGibbs statesBoguslavski distribution

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05) Applications of local differential geometry to the sciences (53B50) Statistical thermodynamics (82B30)

Related Items

Geometrical method for thermal instability of nonlinearly charged BTZ black holes ⋮ THERMODYNAMIC GEOMETRY OF THE BORN–INFELD–ANTI-DE SITTER BLACK HOLES ⋮ On the geometrical structure of the generalized quantum Gibbs states ⋮ Information geometry of finite Ising models ⋮ Geometrical structure of the state space in classical statistical and phenomenological thermodynamics ⋮ A unified thermodynamic picture of Hořava-Lifshitz black hole in arbitrary space time ⋮ Thermodynamic geometry of a kagome Ising model in a magnetic field ⋮ The inverse problem for a linear vector field in thermodynamics ⋮ Riemannian geometry of equilibrium thermodynamics in a liquid mixture

Cites Work

• The geometrical structure of the parameter space of the two-dimensional normal distribution
• Information geometry in functional spaces of classical and quantum finite statistical systems
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