Volume 86, Number 4, May 2009
|Number of page(s)||6|
|Published online||05 June 2009|
Is the Tsallis entropy stable?
Center for Nonlinear Phenomena and Complex Systems, CP 231, Université Libre de Bruxelles 1050 Brussels, Belgium, EU
2 Microgravity Research Center, Chimie Physique E.P., CP 165/62, Université Libre de Bruxelles Av. F. D. Roosevelt 50, 1050 Brussels, Belgium, EU
Corresponding author: firstname.lastname@example.org
Accepted: 30 April 2009
The question of whether the Tsallis entropy is Lesche-stable is revisited. It is argued that when physical averages are computed with the escort probabilities, the correct application of the concept of Lesche-stability requires use of the escort probabilities. As a consequence, as shown here, the Tsallis entropy is unstable but the thermodynamic averages are stable. We further show that Lesche stability as well as thermodynamic stability can be obtained if the homogeneous entropy is used as the basis of the formulation of non-extensive thermodynamics. In this approach, the escort distribution arises naturally as a secondary structure.
PACS: 05.20.-y – Classical statistical mechanics / 02.50.Cw – Probability theory
© EPLA, 2009
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.