Properties of the Nonextensive Gaussian entropy

Details Properties of the Nonextensive Gaussian entropy Properties of the Nonextensive Gaussian entropy

2008-03-19

arxiv.org/abs/0803.2870v2

Physica A 381 (2007) 155

Physics

Condensed Matter

Statistical Mechanics

14 Pages

Scientific paper

10.1016/j.physa.2007.03.010

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.

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