A. Carati
Published 2005-01-25Version 1
This paper is a natural continuation of a previous one by the author, which was concerned with the foundations of statistical thermodynamics far from equilibrium. One of the problems left open in that paper was the correct definition of temperature. In the literature, temperature is in general defined through the mean kinetic energy of the particles of a given system. In this paper, instead, temperature is defined "a la Caratheodory", the system being coupled to a heat bath, and temperature being singled out as the ``right'' integrating factor of the exchanged heat. As a byproduct, the ``right'' expression for the entropy is also obtained. In particular, in the case of a q-distributions the entropy turns out to be that of Tsallis, which we however show to be additive, at variance with what is usually maintained.
On the definition of temperature in FPU systems
Method of Calculating the Free Energy of Three-Dimensional Ising-Like System in an External Field with the Use of the $ρ^6$ Model
Solid phases and pairing in a mixture of polar molecules and atoms
