On the Thermodynamics of Classical Micro-Canonical Systems

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...

Full description

Bibliographic Details
Main Authors: Maarten Baeten, Jan Naudts
Format: Article
Language:English
Published: MDPI AG 2011-06-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/13/6/1186/
Description
Summary: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.
ISSN:1099-4300