STOCHASTIC ASPECTS OF LARGE-AMPLITUDE COLLECTIVE MOTION

We consider externally driven many-body systems with complex spectra o f intrinsic states. The effects of the coupling to the external world are analyzed by assuming time-dependent random matrix properties for t he intrinsic system. We derive and solve evolution equations for intri nsic state population probabilities, average excitation energy and its fluctuations. The diffusive process is likely to be dominated by memo ry effects and an unexpected type of fluctuations.