A discussion and reexamination of the fundamental notions and
concepts of dynamics and thermodynamics, such as temperature, entropy,
specific heat, degrees of freedom, and equipartition theorem, as applied to
finite systems will be presented [1]. These notions and concepts will be
reformulated in a way that explicitly displays the dependence on the system
size. A new equipartition theorem will be formulated and the notion of
dynamical degrees of freedom (distinct from the traditional, kinematical
degrees of freedom) will be introduced. Illustrations of the use of the
dynamical degrees of freedom as a powerful tool of dynamical analysis will be
given.

References

1. J. Jellinek and A. Goldberg, J. Chem. Phys. 113, 2570 (2000)