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

T. Wada () and A. M. Scarfone ()

The European Physical Journal B: Condensed Matter and Complex Systems, 2005, vol. 47, issue 4, 557-561

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

Date: 2005
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Citations: View citations in EconPapers (4)

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DOI: 10.1140/epjb/e2005-00356-3

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