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

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

2005-02-16

arxiv.org/abs/cond-mat/0502394v1

Physics

Condensed Matter

Statistical Mechanics

3 pages

Scientific paper

10.1140/epjb/e2005-00356-3

The canonical probability distribution function (pdf) obtained by optimizing the Tsallis entropy under the linear mean energy constraint (first formalism) or the escort mean energy constraint (third formalism) suffer self-referentiality. In a recent paper [Phys. Lett. A {\bf335} (2005) 351-362] the authors have shown that the pdfs obtained in the two formalisms are equivalent to the pdf in non self-referential form. Based on this result we derive an alternative expression, which is non self-referential, for the Tsallis distributions in both first and third formalisms.

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