Geometrical structure of the state space in classical statistical and phenomenological thermodynamics

DOI10.1016/0034-4877(89)90001-3zbMath0705.60098OpenAlexW2022899474MaRDI QIDQ918049

Henryk Janyszek, Ryszard Mrugała

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0034-4877(89)90001-3

zbMATH Keywords

equilibrium thermodynamical statesgeometrization of classical thermodynamicsgeometry of phenomenological thermodynamics

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Classical equilibrium statistical mechanics (general) (82B05)

Related Items (18)

Geometry of quantum group invariant systems ⋮ Condensate of \(\mu\)-Bose gas as a model of dark matter ⋮ Information geometric methods for complexity ⋮ Thermodynamic geometry and phase transitions in Kerr-Newman-AdS black holes ⋮ Information geometry, phase transitions, and the Widom line: magnetic and liquid systems ⋮ Information geometry of finite Ising models ⋮ Finsler space \(\mathcal F_{PD}\) of positive-definite type gives rise to a lenticular extension of Maxwell's distribution law ⋮ PHASE TRANSITION, GEOMETROTHERMODYNAMICS AND CRITICAL EXPONENTS OF BARDEEN BLACK HOLE ⋮ A unified thermodynamic picture of Hořava-Lifshitz black hole in arbitrary space time ⋮ An extension of Hamiltonian systems to the thermodynamic phase space: towards a geometry of nonreversible processes ⋮ On the thermodynamic geometry and critical phenomena of AdS black holes ⋮ Thermodynamics of boson systems related to Dunkl differential-difference operators ⋮ Information geometry for the strongly degenerate ideal Bose-Einstein fluid ⋮ Fisher information of the Kuramoto model: a geometric reading on synchronization ⋮ The inverse problem for a linear vector field in thermodynamics ⋮ Weinhold geometry and Ruppeiner geometry of black holes with conformal anomaly ⋮ Riemannian geometry of equilibrium thermodynamics in a liquid mixture ⋮ Further investigation on phase transitions of Born–Infeld AdS black holes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the Riemannian metrical structure in the classical statistical equilibrium thermodynamics
• On the geometrical structure of the generalized quantum Gibbs states
• Information geometry in functional spaces of classical and quantum finite statistical systems
• Differential-geometrical methods in statistics
• Almost contact manifolds with Killing structure tensors

This page was built for publication: Geometrical structure of the state space in classical statistical and phenomenological thermodynamics