Volume 84, Number 6, December 2008
|Number of page(s)||3|
|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: email@example.com
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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