A note on the definition of deformed exponential and logarithm functions
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Publication:3583632
DOI10.1063/1.3227657zbMath1236.82006OpenAlexW1971822454MaRDI QIDQ3583632
Thomas Oikonomou, G. Baris Bagci
Publication date: 17 August 2010
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: http://nur.nu.edu.kz/handle/123456789/1040
Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Foundations of equilibrium statistical mechanics (82B03) Measures of information, entropy (94A17)
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Shannon entropy reinterpreted ⋮ Radial distribution function within the framework of the Tsallis statistical mechanics ⋮ Group theory, entropy and the third law of thermodynamics ⋮ Misusing the entropy maximization in the jungle of generalized entropies ⋮ The maximization of Tsallis entropy with complete deformed functions and the problem of constraints ⋮ Intensive variables in the framework of the non-extensive thermostatistics ⋮ Bipartite entanglement of nonlinear quantum systems in the context of the \(q\)-Heisenberg Weyl algebra ⋮ Biparametric complexities and generalized Planck radiation law ⋮ A completeness criterion for Kaniadakis, Abe and two-parameter generalized statistical theories ⋮ The parameter space and third law of thermodynamics for the Borges–Roditi, Abe and Sharma–Mittal entropies
Cites Work
- Generalized entropic structures and non-generality of Jaynes' formalism
- On the way towards a generalized entropy maximization procedure
- On the cut-off prescriptions associated with power-law generalized thermostatistics
- Generalized algebra within a nonextensive statistics
- Possible generalization of Boltzmann-Gibbs statistics.
- Remarks on: ``Thermodynamic stability conditions for the Tsallis and Rényi entropies by J. D. Ramshaw
- Introduction to Nonextensive Statistical Mechanics
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