Properties of the "non-extensive Gaussian" entropy

Research output: Contribution to journalArticle

6 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 languageEnglish
Pages (from-to)155-163
Number of pages9
JournalPhysica A: Statistical Mechanics and its Applications
Volume381
Issue number1-2
DOIs
Publication statusPublished - Jul 15 2007
Externally publishedYes

Fingerprint

Entropy
Legendre
entropy
Thermodynamics
Maximum Entropy
Stability Condition
Preservation
thermodynamics
Legendre functions
Robustness

Keywords

  • Lambert W-function
  • Lesche stability
  • MaxEnt principle
  • Thermodynamic stability

ASJC Scopus subject areas

  • Mathematical Physics
  • Statistical and Nonlinear Physics

Cite this

Properties of the "non-extensive Gaussian" entropy. / Oikonomou, Th.

In: Physica A: Statistical Mechanics and its Applications, Vol. 381, No. 1-2, 15.07.2007, p. 155-163.

Research output: Contribution to journalArticle

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