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 |
|---|---|
| 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 |
| Externally published | Yes |
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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 journal › Article
}
TY - JOUR
T1 - Properties of the "non-extensive Gaussian" entropy
AU - Oikonomou, Th
PY - 2007/7/15
Y1 - 2007/7/15
N2 - 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.
AB - 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.
KW - Lambert W-function
KW - Lesche stability
KW - MaxEnt principle
KW - Thermodynamic stability
UR - http://www.scopus.com/inward/record.url?scp=34249659548&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=34249659548&partnerID=8YFLogxK
U2 - 10.1016/j.physa.2007.03.010
DO - 10.1016/j.physa.2007.03.010
M3 - Article
VL - 381
SP - 155
EP - 163
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
SN - 0378-4371
IS - 1-2
ER -