Properties of the “non-extensive Gaussian” entropy

✍ Scribed by Th. Oikonomou

• Publisher: Elsevier Science
• Year: 2007
• Tongue: English
• Weight: 183 KB
• Volume: 381
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/j.physa.2007.03.010

✦ Synopsis

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 ''non-extensive Gaussian'' entropy. We show that this entropy definition fulfills both stability conditions for all values of its parameter (q 2 R). The entropy maximizer contains the Lambert W-function, which allows the preservation of the Legendre transformations.