Finsler space \(\mathcal F_{PD}\) of positive-definite type gives rise to a lenticular extension of Maxwell's distribution law

DOI10.1016/S0034-4877(00)86388-0zbMath0959.53010OpenAlexW2039977590MaRDI QIDQ1973698

Gennadii S. Asanov

Publication date: 8 May 2000

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

Full work available at URL: https://doi.org/10.1016/s0034-4877(00)86388-0

zbMATH Keywords

indicatrixFinsler fundamental functionMaxwell's distribution lawspecial Finsler space

Mathematics Subject Classification ID

Equilibrium statistical mechanics (82B99) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Cites Work

• Geometrical structure of the state space in classical statistical and phenomenological thermodynamics
• Finsler geometry, relativity and gauge theories
• Differential-geometrical methods in statistics.
• On parabolic geometry and irreversible macroscopic time
• Principal bundles and gauge theories in the space-time \(\mathbb R \times S^ 3\)
• Finslerian metric and tetrads in static spherically-symmetric case of gravitational field
• Finsler cases of GF-space
• ADJOINT PROBLEMS IN THE CALCULUS OF VARIATIONS OF MULTIPLE INTEGRALS
• Riemannian and Finslerian geometry in thermodynamics
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