On the canonical distributions of a thermal particle in a generalized velocity-dependent potential

DOI10.1016/j.physa.2019.123273OpenAlexW2981399842WikidataQ126991080 ScholiaQ126991080MaRDI QIDQ2137582

Hiroshi Matsuzoe, Tatsuaki Wada, Antonio Maria Scarfone

Publication date: 16 May 2022

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2019.123273

zbMATH Keywords

Fokker-Planck equationanomalous transport\(\kappa\)-deformed Gaussian

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Cites Work

• Theoretical foundations and mathematical formalism of the power-law tailed statistical distributions
• Deformed algebras and generalizations of independence on deformed exponential families
• On the \(\kappa\)-deformed cyclic functions and the generalized Fourier series in the framework of the \(\kappa\)-algebra
• Dualistic Hessian structures among the thermodynamic potentials in the \(\kappa\)-thermostatistics
• Information geometry and its applications
• A nonlinear drift which leads to \(\kappa \)-generalized distributions
• \(\kappa\)-deformed Fourier transform
• Generalised Thermostatistics
• Introduction to Nonextensive Statistical Mechanics
• Legendre structure of κ-thermostatistics revisited in the framework of information geometry
• A new one-parameter deformation of the exponential function

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