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On the Thermodynamics of Classical Micro-Canonical Systems

Departement Natuurkunde, Universiteit Antwerpen, Universiteitsplein 1, 2610 Antwerpen, Belgium
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Entropy 2011, 13(6), 1186-1199; https://doi.org/10.3390/e13061186
Received: 18 May 2011 / Revised: 15 June 2011 / Accepted: 16 June 2011 / Published: 21 June 2011
(This article belongs to the Special Issue Tsallis Entropy)
We give two arguments why the thermodynamic entropy of non-extensive systems involves R´enyi’s entropy function rather than that of Tsallis. The first argument is that the temperature of the configurational subsystem of a mono-atomic gas is equal to that of the kinetic subsystem. The second argument is that the instability of the pendulum, which occurs for energies close to the rotation threshold, is correctly reproduced. View Full-Text
Keywords: microcanonical ensemble; Tsallis entropy; R´enyi entropy; q-exponential distribution microcanonical ensemble; Tsallis entropy; R´enyi entropy; q-exponential distribution
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Baeten, M.; Naudts, J. On the Thermodynamics of Classical Micro-Canonical Systems. Entropy 2011, 13, 1186-1199.

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