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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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Received: 18 May 2011; in revised form: 15 June 2011 / Accepted: 16 June 2011 / Published: 21 June 2011
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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Baeten, M.; Naudts, J. On the Thermodynamics of Classical Micro-Canonical Systems. Entropy 2011, 13, 1186-1199.
Baeten M, Naudts J. On the Thermodynamics of Classical Micro-Canonical Systems. Entropy. 2011; 13(6):1186-1199.
Baeten, Maarten; Naudts, Jan. 2011. "On the Thermodynamics of Classical Micro-Canonical Systems." Entropy 13, no. 6: 1186-1199.