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Generalized entropies from first principles

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  • Almeida, M.P.

Abstract

A derivation of power law canonical distributions from first principle statistical mechanics, including the exponential distribution as a particular case is presented. It is shown that these distributions arise naturally, and that the heat capacity of the heat bath is the condition that determines its type. As a consequence, a physical interpretation for the parameter q of the generalized entropy is given.

Suggested Citation

  • Almeida, M.P., 2001. "Generalized entropies from first principles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 300(3), pages 424-432.
    • Handle: RePEc:eee:phsmap:v:300:y:2001:i:3:p:424-432
    DOI: 10.1016/S0378-4371(01)00353-3
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    Citations

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    Cited by:

    1. Campisi, Michele, 2007. "Thermodynamics with generalized ensembles: The class of dual orthodes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 385(2), pages 501-517.
    2. R. Basurto-Flores & L. Guzmán-Vargas & S. Velasco & A. Medina & A. Calvo Hernandez, 2018. "On entropy research analysis: cross-disciplinary knowledge transfer," Scientometrics, Springer;Akadémiai Kiadó, vol. 117(1), pages 123-139, October.
    3. Masi, Marco, 2007. "On the extended Kolmogorov–Nagumo information-entropy theory, the q→1/q duality and its possible implications for a non-extensive two-dimensional Ising model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 377(1), pages 67-78.
    4. Potiguar, F.Q & Costa, U.M.S, 2003. "Fluctuation of energy in the generalized thermostatistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 321(3), pages 482-492.
    5. Dagmar Markechová, 2018. "Tsallis Entropy of Fuzzy Dynamical Systems," Mathematics, MDPI, vol. 6(11), pages 1-19, November.
    6. Tsallis, Constantino & Borges, Ernesto P. & Plastino, Angel R., 2023. "Entropy evolution at generic power-law edge of chaos," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).

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