The maximization of Tsallis entropy with complete deformed functions and the problem of constraints

DOI10.1016/j.physleta.2010.03.038zbMath1237.81101arXiv0907.4059OpenAlexW2027197171MaRDI QIDQ415000

G. Baris Bagci, Thomas Oikonomou

Publication date: 11 May 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.4059

zbMATH Keywords

Tsallis entropyescort averageordinary averageq-exponentialq-logarithm

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Quantum equilibrium statistical mechanics (general) (82B10) Measures of information, entropy (94A17)

Related Items

Towards an information geometric characterization/classification of complex systems. I: Use of generalized entropies, Intensive variables in the framework of the non-extensive thermostatistics, From Complexity to Information Geometry and Beyond, ENERGY FLUCTUATIONS IN UNNORMALIZED TSALLIS STATISTICS, Generalized quantum entropies, A completeness criterion for Kaniadakis, Abe and two-parameter generalized statistical theories

Cites Work

• On the way towards a generalized entropy maximization procedure
• Generalized algebra within a nonextensive statistics
• Possible generalization of Boltzmann-Gibbs statistics.
• Introduction to Nonextensive Statistical Mechanics
• A note on the definition of deformed exponential and logarithm functions
• Escort mean values and the characterization of power-law-decaying probability densities
• Nonextensive thermodynamic relations
• Thermodynamics' zeroth law in a nonextensive scenario
• The concept of temperature in a nonextensive scenario
• Heat and entropy in nonextensive thermodynamics: transmutation from Tsallis theory to Rényi-entropy-based theory