Riemannian and Finslerian geometry in thermodynamics

DOI10.1007/BF02228846zbMath0899.53017OpenAlexW1991203303WikidataQ115392670 ScholiaQ115392670MaRDI QIDQ4390988

Ryszard Mrugała

Publication date: 28 October 1998

Published in: Open Systems & Information Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02228846

zbMATH Keywords

thermodynamicsFinsler geometryKropina metric

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05) Applications of differential geometry to physics (53Z05) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Related Items (10)

Thermodynamic length, geometric efficiency and Legendre invariance ⋮ Finsler geometry for nonlinear path of fluids flow through inhomogeneous media ⋮ Finsleroid-cosmological equations ⋮ Finsler space \(\mathcal F_{PD}\) of positive-definite type gives rise to a lenticular extension of Maxwell's distribution law ⋮ Finsleroid-Finsler spaces of positive-definite and relativistic types ⋮ Conformal property of the Finsler space \(\mathcal F_{\text{SR}}\) and extension of electromagnetic field equations ⋮ Finsleroid-regular space. Gravitational metric. Berwald case ⋮ Finslerian metric functions over the product \(\mathbb{R}\times M\) and their potential applications ⋮ Legendre submanifolds in contact manifolds as attractors and geometric nonequilibrium thermodynamics ⋮ On parabolic geometry and irreversible macroscopic time

Cites Work

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• On Finsler geometry of thermodynamical states introduced by R. S. Ingarden
• On Finsler spaces with Kropina metric
• Theory of Finsler spaces with \((\alpha,\beta)\)-metric
• Exponential Operators and Parameter Differentiation in Quantum Physics

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