Benettin, Giancarlo (1992) On the Boltzmann-Jeans conjecture for a classical "freezing" of fast degrees of freedom. Accademia Peloritana dei Pericolanti, Classe di Scienze FF. MM. NN., LXX . pp. 147-167.
atti_3_1992_147.pdf - Submitted Version
At the turn of the century, before quantum mechanics, Boltzmann and Jeans proposed a purely classical interpretation of the lack of energy equipartion with the high-frequency degrees of freedom, for example the "freezing" of the internal vibrational degree of freedom in diatomic gases (at ordinary temperatures), or the lack of the ultraviolet catastrophe in a radiant cavity. This old conjecture is revisited in the light of some recent results, both numerical and analytical, in dynamical systems theory (classical perturbation theory; theory of adiabatic invariants).
Actions (login required)