Dualistic Hessian structures among the thermodynamic potentials in the \(\kappa\)-thermostatistics

DOI10.3390/e17107213zbMath1338.80006OpenAlexW1885337469MaRDI QIDQ296441

Hiroshi Matsuzoe, Tatsuaki Wada, Antonio Maria Scarfone

Publication date: 15 June 2016

Published in: Entropy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/e17107213

Mathematics Subject Classification ID

Classical and relativistic thermodynamics (80A10)

Related Items (8)

Consistency of the structure of Legendre transform in thermodynamics with the Kolmogorov-Nagumo average ⋮ Affine geometric description of thermodynamics ⋮ Investigation of some quantum mechanics problems with \(\kappa\)-translation symmetry ⋮ On the canonical distributions of a thermal particle in a generalized velocity-dependent potential ⋮ A study of Rényi entropy based on the information geometry formalism ⋮ On some information geometric structures concerning mercator projections ⋮ Hessian–information geometric formulation of Hamiltonian systems and generalized Toda’s dual transform ⋮ An eikonal equation approach to thermodynamics and the gradient flows in information geometry

Cites Work

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• Theoretical foundations and mathematical formalism of the power-law tailed statistical distributions
• Deformed algebras and generalizations of independence on deformed exponential families
• Maximum entropy principle and power-law tailed distributions
• Introduction to Nonextensive Statistical Mechanics
• Hessian Structures and Divergence Functions on Deformed Exponential Families
• Legendre structure of κ-thermostatistics revisited in the framework of information geometry
• The Negentropy Principle of Information
• Constantin Carathéodory and the axiomatic thermodynamics
• A new one-parameter deformation of the exponential function

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