Legendre structure of κ-thermostatistics revisited in the framework of information geometry

DOI10.1088/1751-8113/47/27/275002zbMath1306.82008OpenAlexW2028402693MaRDI QIDQ5495140

Tatsuaki Wada, Antonio Maria Scarfone

Publication date: 31 July 2014

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

Full work available at URL: https://doi.org/10.1088/1751-8113/47/27/275002

zbMATH Keywords

information geometrygeneralized statistical mechanicsLegendre structure

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Entropy and other invariants (28D20) Measures of information, entropy (94A17) Statistical thermodynamics (82B30) Methods of local Riemannian geometry (53B21) Manifolds of metrics (especially Riemannian) (58D17)

Related Items (7)

Consistency of the structure of Legendre transform in thermodynamics with the Kolmogorov-Nagumo average ⋮ Investigation of some quantum mechanics problems with \(\kappa\)-translation symmetry ⋮ Dualistic Hessian structures among the thermodynamic potentials in the \(\kappa\)-thermostatistics ⋮ On the canonical distributions of a thermal particle in a generalized velocity-dependent potential ⋮ \(\kappa\)-deformed Fourier transform ⋮ A study of Rényi entropy based on the information geometry formalism ⋮ Thermodynamic properties of the blackbody radiation: a Kaniadakis approach

This page was built for publication: Legendre structure of κ-thermostatistics revisited in the framework of information geometry