Higher order long range correlations in nuclear structure and dynamics.

An explicit correction term to the ensemble averaged trajectory for the phase space single-particle distribution function due to the presence of the higher order long range correlations is considered. It is demonstrated that this extension of the usually employed transport approaches (BUU, BNV, LV, etc.) has a diffusion structure. The role of higher order correlations in the cases of nuclear collective motion and the mean field decomposition effect in nuclear fragmentation at high temperatures is analyzed. In particular we show the importance of higher order correlations for the transition from zero to first sound regime for propagation of the collective excitation in hot nuclear matter. \textcopyright{} 1996 The American Physical Society.