Generalized entropic structures and non-generality of Jaynes' Formalism

Details Generalized entropic structures and non-generality of Jaynes' Formalism Generalized entropic structures and non-generality of Jaynes' Formalism

2008-08-12

arxiv.org/abs/0808.1673v2

Chaos, Solitons and Fractals 42 (2009) 3027

Physics

Condensed Matter

Statistical Mechanics

10 pages, 2 figures

Scientific paper

The extremization of an appropriate entropic functional may yield to the probability distribution functions maximizing the respective entropic structure. This procedure is known in Statistical Mechanics and Information Theory as Jaynes' Formalism and has been up to now a standard methodology for deriving the aforementioned distributions. However, the results of this formalism do not always coincide with the ones obtained following different approaches. In this study we analyse these inconsistencies in detail and demonstrate that Jaynes' formalism leads to correct results only for specific entropy definitions.

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