Properties of the Nonextensive Gaussian entropy

Abstract

The present work investigates the Lesche stability (experimental robustness), the thermodynamic stability, the Legendre structure of thermodynamics, and derives the Maximum Entropy distribution of the one--parametric ``nonextensive Gaussian'' entropy. We show that this entropy definition fulfills both stability conditions for all values of its parameter ($q\in \mathbb{R}$). The entropy maximizer contains the Lambert $W$--function, which allows the preservation of the Legendre transformations.

14 Pages

References in corpus (6)

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• Nonextensive statistical mechanics: A brief introduction
• Stabilities of generalized entropies
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Cited by in corpus (3)

• Entropies based on fractional calculus
• On the equivalence between four versions of thermostatistics based on strongly pseudo-additive entropies
• Generalized entropic structures and non-generality of Jaynes' Formalism