Properties of the "non-extensive Gaussian" entropy

Research output: Contribution to journalArticlepeer-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 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

Keywords

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

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics

Fingerprint Dive into the research topics of 'Properties of the "non-extensive Gaussian" entropy'. Together they form a unique fingerprint.

Cite this