Comment on: ``Nonextensivity: from low-dimensional maps to Hamiltonian systems'' by Tsallis et al

D. H. E. Gross

Published 2002-10-21Version 1

The critique against using Boltzmann's microcanonical entropy, an "ensemble measure", as foundation of statistics is rebuffed. The confusion of the microcanonical distribution with the exponential Boltzmann-Gibbs (``BG'') distribution is pointed out. Boltzmann's principle is clearly superior over any Tsallis q-statistics in describing the equilibrium of small systems like nuclei and even self-gravitating systems as paradigm of non-extensive Hamiltonian systems.