NONLOCAL KINETIC THEORY

Authors :: Václav Špička
Pavel Lipavský
Klaus Morawetz
Source :: Recent Progress in Many-Body Theories.
Publication Year :: 2000
Publisher :: WORLD SCIENTIFIC, 2000.
Abstract: The short time behavior of a disturbed system is influenced by off-shell motion and best characterized by the reduced density matrix possessing high energetic tails. We present analytically the formation of correlations due to collisions in an interacting Fermionic system with and without initial correlation. After this short time regime the time evolution is controlled by small gradients. This leads to a nonlocal Boltzmann equation for the quasiparticle distribution and a functional relating the latter one to the reduced density matrix. The nonlocalities are presented as time and space shifts arising from gradient expansion and are leading to virial corrections in the thermodynamical limit.<br />Comment: Proceedings KB99 Workshop, September 20-24 1999, Rostock, Germany