Three-parameter logarithm and entropy

DOI10.1155/2020/9791789zbMath1456.82001arXiv2009.03280OpenAlexW3110391404MaRDI QIDQ2220232

Cristina B. Corcino, Roberto B. Corcino

Publication date: 22 January 2021

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.03280

zbMATH Keywords

Tsallis \(q\)-entropyBoltzmann equation for entropyBoltzmann-Gibbs-Shannon entropy

Mathematics Subject Classification ID

Foundations of equilibrium statistical mechanics (82B03) Boltzmann equations (35Q20)

Cites Work

• Unnamed Item
• Boltzmann-Gibbs entropy: Axiomatic characterization and application
• Shannon entropy reinterpreted
• Adiabatic thermostatistics of the two parameter entropy and the role of Lambert's \(W\)-function in its applications
• Possible generalization of Boltzmann-Gibbs statistics.
• A family of nonextensive entropies
• A note on the \(q\)-deformation-theoretic aspect of the generalized entropies in nonextensive physics
• Two-parameter generalization of the logarithm and exponential functions and Boltzmann-Gibbs-Shannon entropy

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