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 derived microscopically beyond the lowest approximation in the weak coupling parameter. Generalized fluctuation-dissipation relations are derived and shown to ensure convergence to thermal equilibrium at any order of perturbation theory. 
A. V. Plyukhin
cond-mat.stat-mech math-ph math.MP