Dynamic realization of statistical state in finite systems

Evolution of the large-amplitude dissipative collective motion in a simple soluble model is studied within the time-dependent Hartree-Fock theory, by using a general microscopic transport theory, which optimally divides the total system into the collective and intrinsic subsystems. Even though the total system reaches some statistical stationary state, it is shown that the subsystem cannot alone remain stationary by being separated from the other subsystem, when they are strongly correlated with each other. Dynamic response functions are used in exploring an instantaneous structure of each subsystem. When the total system reaches a statistical stationary state, it is shown by using the dynamical response function that the influence of the intrinsic subsystem on the collective one can be effectively taken into account by replacing the intrinsic system by the heat bath