Properties of the "non-extensive Gaussian" entropy

Th Oikonomou

doi:10.1016/j.physa.2007.03.010

Properties of the "non-extensive Gaussian" entropy

Th Oikonomou

Department of Physics

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

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

Original language	English
Pages (from-to)	155-163
Number of pages	9
Journal	Physica A: Statistical Mechanics and its Applications
Volume	381
Issue number	1-2
DOIs	https://doi.org/10.1016/j.physa.2007.03.010
Publication status	Published - Jul 15 2007

Keywords

Lambert W-function
Lesche stability
MaxEnt principle
Thermodynamic stability

ASJC Scopus subject areas

Statistics and Probability
Condensed Matter Physics

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