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 |
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Pages (from-to) | 155-163 |
Number of pages | 9 |
Journal | Physica A: Statistical Mechanics and its Applications |
Volume | 381 |
Issue number | 1-2 |
DOIs | |
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