Properties of the Nonextensive Gaussian entropy
arXiv:0803.2870 · doi:10.1016/j.physa.2007.03.010
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 (). The entropy maximizer contains the Lambert --function, which allows the preservation of the Legendre transformations.
14 Pages