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A non self-referential expression of Tsallis' probability distribution function

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  • T. Wada
  • A. M. Scarfone

Abstract

The canonical probability distribution function (pdf) obtained by optimizing the Tsallis entropy under either the linear mean energy constraint U or the escort mean energy constraint U q suffer self-referentiality. In a recent paper [Phys. Lett. A 335, 351 (2005)] the authors have shown that the pdfs obtained with either U or U q are equivalent to the pdf in a non self-referential form. Based on this result we derive an alternative expression for the Tsallis distributions, employing either U or U q , which is non self-referential. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2005

Suggested Citation

  • T. Wada & A. M. Scarfone, 2005. "A non self-referential expression of Tsallis' probability distribution function," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 47(4), pages 557-561, October.
    • Handle: RePEc:spr:eurphb:v:47:y:2005:i:4:p:557-561
    DOI: 10.1140/epjb/e2005-00356-3
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    Cited by:

    1. Lucia, Umberto, 2010. "Maximum entropy generation and κ-exponential model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 4558-4563.
    2. Okamura, Keisuke, 2020. "Affinity-based extension of non-extensive entropy and statistical mechanics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 557(C).
    3. Suyari, Hiroki, 2006. "Mathematical structures derived from the q-multinomial coefficient in Tsallis statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 368(1), pages 63-82.
    4. Suyari, Hiroki & Wada, Tatsuaki, 2008. "Multiplicative duality, q-triplet and (μ,ν,q)-relation derived from the one-to-one correspondence between the (μ,ν)-multinomial coefficient and Tsallis entropy Sq," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(1), pages 71-83.

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