Logarithmic generalization of the Lambert \(W\) function and its applications to adiabatic thermostatistics of the three-parameter entropy

DOI10.1155/2021/6695559zbMath1482.82025arXiv2011.04283OpenAlexW3127924793MaRDI QIDQ2247655

Cristina B. Corcino, Roberto B. Corcino

Publication date: 17 November 2021

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.04283

Mathematics Subject Classification ID

Classical and relativistic thermodynamics (80A10) Measures of information, entropy (94A17) Statistical thermodynamics (82B30)

Cites Work

• Unnamed Item
• Boltzmann-Gibbs entropy: Axiomatic characterization and application
• Thermodynamic limit of a classical gas in nonextensive statistical mechanics: Negative specific heat and polytropism
• Adiabatic thermostatistics of the two parameter entropy and the role of Lambert's \(W\)-function in its applications
• Possible generalization of Boltzmann-Gibbs statistics.
• Asymptotics of Genocchi polynomials and higher order Genocchi polynomials using residues
• Two-parameter generalization of the logarithm and exponential functions and Boltzmann-Gibbs-Shannon entropy
• Nonextensive thermodynamic relations

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