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The role of constraints in Tsallis' nonextensive treatment revisited

Author

Listed:
  • Ferri, G.L.
  • Martínez, S.
  • Plastino, A.

Abstract

We revisit the nonextensive treatment advanced by Tsallis, et al. (Physica A 261 (1998) 534) in order to perform a rather exhaustive study of its properties and compare them with the earlier formalism devised by Curado and Tsallis (J. Phys. A 24 (1991) L69). Some interesting features are in this way revealed.

Suggested Citation

  • Ferri, G.L. & Martínez, S. & Plastino, A., 2005. "The role of constraints in Tsallis' nonextensive treatment revisited," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 347(C), pages 205-220.
    • Handle: RePEc:eee:phsmap:v:347:y:2005:i:c:p:205-220
    DOI: 10.1016/j.physa.2004.08.035
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    Cited by:

    1. Umpierrez, Haridas & Davis, Sergio, 2021. "Fluctuation theorems in q-canonical ensembles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 563(C).
    2. Dukkipati, Ambedkar & Bhatnagar, Shalabh & Murty, M. Narasimha, 2007. "On measure-theoretic aspects of nonextensive entropy functionals and corresponding maximum entropy prescriptions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 384(2), pages 758-774.
    3. Rastegin, Alexey E., 2013. "Formulation of the Hellmann–Feynman theorem for the “second choice” version of Tsallis’ thermostatistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(1), pages 103-110.
    4. Blank, Arkadiy & Suhareva, Natalia & Tsyganov, Mikhail, 2021. "Discrimination information for intensity distributions of a collimated wave beam," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).

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    Keywords

    Tsallis statistics; Thermodynamics;

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