Abstract
Some results of interest in classical nonequilibrium statistical mechanics, previously proved to all orders in the interaction, are proved without recourse to perturbation expansions, making it possible to avoid convergence questions. One theorem so proved is that when the interaction is switched on slowly, a Maxwellian distribution goes into the canonical distribution at the same temperature. The two steps in the Prigogine theory of the approach to equilibrium that originally depended on a perturbation proof are also demonstrated nonperturbatively. Lastly, the statement that in equilibrium cluster expansions in the density there are no articulation points in the graphs contributing to the reduced distributions is proved from a time-dependent point of view.
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