| Issue |
EPL
Volume 84, Number 6, December 2008
|
|
|---|---|---|
| Article Number | 60006 | |
| Number of page(s) | 3 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/84/60006 | |
| Published online | 12 January 2009 | |
Instability of q-averages in nonextensive statistical mechanics
Department of Physical Engineering, Mie University - Mie 514-8507, Japan and Institut Supérieur des Matériaux et Mécaniques Avancés - 44 F. A. Bartholdi, 72000 Le Mans, France, EU and Inspire Institute Inc. - McLean, VA 22101, USA
Corresponding author: suabe@sf6.so-net.ne.jp
Received:
21
June
2008
Accepted:
21
November
2008
A generalization of the definition of average value of a physical quantity has been discussed in the literature. In particular, the so-called q-average is widely used in the field of nonextensive statistical mechanics. Here, it is shown that the q-average is not stable under small deformations of a probability distribution function, in general, whereas the normal average is always stable.
PACS: 02.50.Cw – Probability theory / 05.20.-y – Classical statistical mechanics / 05.90.+m – Other topics in statistical physics, thermodynamics, and nonlinear dynamical systems
© EPLA, 2008
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