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Entropy 2011, 13(6), 1186-1199; doi:10.3390/e13061186
Article

On the Thermodynamics of Classical Micro-Canonical Systems

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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)
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Abstract

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.
Keywords: microcanonical ensemble; Tsallis entropy; R´enyi entropy; q-exponential distribution microcanonical ensemble; Tsallis entropy; R´enyi entropy; q-exponential distribution
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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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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