Properties of the "non-extensive Gaussian" entropy

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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

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Keywords

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

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics

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