On the thermodynamics of classical micro-canonical systems

Details On the thermodynamics of classical micro-canonical systems On the thermodynamics of classical micro-canonical systems

2010-09-09

arxiv.org/abs/1009.1787v1

Entropy 13, 1186-1199 (2011)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

We study the configurational probability distribution of a mono-atomic gas with a finite number of particles N in the micro-canonical ensemble. We give two arguments why the thermodynamic entropy of the configurational subsystem involves Renyi's entropy function rather than that of Tsallis. The first argument is that the temperature of the configurational subsystem 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.

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