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arxiv: cond-mat/0210448 · v1 · submitted 2002-10-21 · ❄️ cond-mat.stat-mech · nucl-th· physics.atm-clus

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

classification ❄️ cond-mat.stat-mech nucl-thphysics.atm-clus
keywords systemsboltzmanndistributionhamiltonianmicrocanonicaltsallisboltzmann-gibbsclearly
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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.

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