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

On the Thermodynamics of Classical Micro-Canonical Systems

Departement Natuurkunde, Universiteit Antwerpen, Universiteitsplein 1, 2610 Antwerpen, Belgium
* Author to whom correspondence should be addressed.
Received: 18 May 2011; in revised form: 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

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MDPI and ACS Style

Baeten, M.; Naudts, J. On the Thermodynamics of Classical Micro-Canonical Systems. Entropy 2011, 13, 1186-1199.

AMA Style

Baeten M, Naudts J. On the Thermodynamics of Classical Micro-Canonical Systems. Entropy. 2011; 13(6):1186-1199.

Chicago/Turabian Style

Baeten, Maarten; Naudts, Jan. 2011. "On the Thermodynamics of Classical Micro-Canonical Systems." Entropy 13, no. 6: 1186-1199.

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