A non self-referential expression of Tsallis' probability distribution function
AbstractThe 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
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Bibliographic InfoArticle provided by Springer in its journal The European Physical Journal B - Condensed Matter and Complex Systems.
Volume (Year): 47 (2005)
Issue (Month): 4 (October)
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Web page: http://www.springer.com/economics/journal/10051
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- Lucia, Umberto, 2010. "Maximum entropy generation and κ-exponential model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 4558-4563.
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