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

7 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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AB - 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.

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KW - MaxEnt principle

KW - Thermodynamic stability

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Properties of the "non-extensive Gaussian" entropy

Abstract

Keywords

ASJC Scopus subject areas

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