Stochastic dynamics beyond the weak coupling limit: thermalization.
We discuss the structure and asymptotic long-time properties of coupled equations for the moments of a Brownian particle's momentum p(n)((t)) derived microscopically beyond the lowest approximation in the weak coupling parameter λ. Generalized fluctuation-dissipation relations are derived and shown to ensure convergence to thermal equilibrium to any order in λ.
Department of Mathematics, Saint Anselm College, Manchester, New Hampshire 03102, USA. aplyukhin@anselm.edu
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Plyukhin