A. Carati, L. Galgani
PLANCK'S FORMULA AND GLASSY BEHAVIOR IN CLASSICAL NONEQUILIBRIUM
STATISTICAL MECHANICS
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ABSTRACT. In statistical mechanics it is well known that one has to take into
account the role of the relaxation times to equilibrium. We discuss
the relevance of this fact for systems of weakly coupled harmonic
oscillators in a classical framework, showing how one has a behavior
similar to that of glassy systems and how one finds an analogue of
Planck's formula. From this point of view, quantum equilibrium
statistical mechanics thus appears as a first order approximation in
classical nonequilibrium statistical mechanics very far from
equilibrium.