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

  • Statistical and Nonlinear Physics
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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 Uq 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 Uq 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 Uq, which is non self-referential.

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Authors and Affiliations

  1. Department of Electrical and Electronic Engineering, Ibaraki University, Hitachi,  Ibaraki, 316-8511, Japan

    T. Wada

  2. Istituto Nazionale di Fisica della Materia (INFM) and Dipartimento di Fisica, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129, Torino, Italy

    A. M. Scarfone

Authors
  1. T. Wada
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  2. A. M. Scarfone
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Correspondence to T. Wada.

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Wada, T., Scarfone, A. A non self-referential expression of Tsallis' probability distribution function. Eur. Phys. J. B 47, 557–561 (2005). https://doi.org/10.1140/epjb/e2005-00356-3

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  • DOI: https://doi.org/10.1140/epjb/e2005-00356-3

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