Dresden 2003 – scientific programme
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DY: Dynamik und Statistische Physik
DY 10: Statistical physics far from thermal equilibrium
DY 10.7: Talk
Monday, March 24, 2003, 11:15–11:30, G\"OR/226
Retarded versus time-nonlocal quantum kinetic equations — •Klaus Morawetz1, Pavel Lipavský2, and Václav Špička2 — 1Max-Planck-Institute for the Physics of Complex Systems, Noethnitzer Str. 38, 01187 Dresden, Germany — 2Institute of Physics, Academy of Sciences, Cukrovarnická 10, 16258 Praha 6, Czech Republic
The finite duration of the collisions in Fermionic systems as expressed by the retardation time in non-Markovian Levinson-type kinetic equations is discussed in the quasiclassical limit. We separate individual contributions included in the memory effect resulting in (i) off-shell tails of the Wigner distribution, (ii) renormalization of scattering rates and (iii) of the single-particle energy, (iv) collision delay and (v) related non-local corrections to the scattering integral. In this way we transform the Levinson equation into the Landau-Silin equation extended by the non-local corrections known from the theory of dense gases. The derived nonlocal kinetic equation unifies the Landau theory of quasiparticle transport with the classical kinetic theory of dense gases.
[1] K. Morawetz, P. Lipavský, and V. Špička, Ann. of Phys. 294, 134 (2001)
[2] P. Lipavský, K. Morawetz, and V. Špička, Kinetic equation for strongly interacting dense Fermi systems, Vol. 26,1 of Annales de Physique (EDP Sciences, Paris, 2001), ISBN: 2-86883-541-4.