Properties of the “non-extensive Gaussian” entropy

Th. Oikonomou

Physica A: Statistical Mechanics and its Applications, 2007, vol. 381, issue C, 155-163

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.

Keywords: Lesche stability; Thermodynamic stability; MaxEnt principle; Lambert W-function (search for similar items in EconPapers)
Date: 2007
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:381:y:2007:i:c:p:155-163

DOI: 10.1016/j.physa.2007.03.010

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