Jim Lutsko

Jim Lutsko

My interests include Statistical Physics; Crystallization; Density Functional Theory, Simulation methods - particularly rare event techniques, Protein physics, Granular physics and Crystal Growth. I am based in the Physics of Complex Systems and Statistical Mechanics group at the Universite Libre de Bruxelles.

[073]  Is the Tsallis entropy stable?

J. F. Lutsko, J. P. Boon, and P. Grosfils, " Is the Tsallis entropy stable?", EuroPhys. Lett., 86, 40005 (2009) http://jimlutsko.github.io/files/Lutsko_EPL_2009_1.pdf

Abstract

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.