Overview
It is well known that the equipartition principle lies at the very basis of classical statistical mechanics. It is also known that the greatest difficulty with classical statistical mechanics is that some degrees of freedom seem to be frozen, and not to attain the energy expected from that principle. The problem we want to discuss here is whether such a phenomenon can be understood on a dynamical basis.
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Benettin, G., Galgani, L., Giorgilli, A. (1994). The Dynamical Foundations of Classical Statistical Mechanics and the Boltzmann-Jeans Conjecture. In: Kuksin, S., Lazutkin, V., Pöschel, J. (eds) Seminar on Dynamical Systems. Progress in Nonlinear Differential Equations and Their Applications, vol 12. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7515-8_1
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