Dresden 2014 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 79: Correlated Electrons - Poster Session
TT 79.75: Poster
Mittwoch, 2. April 2014, 15:00–19:00, P2
Nonlocal quantum kinetic theory — •Klaus Morawetz1,2,3 and Pavel Lipavsky4 — 1Münster University of Applied Sciences, Stegerwaldstrasse 39, 48565 Steinfurt, Germany — 2International Institute of Physics (IIP) Av. Odilon Gomes de Lima 1722, 59078-400 Natal, Brazil — 3Max-Planck-Institute for the Physics of Complex Systems, 01187 Dresden, Germany — 4Faculty of Mathematics and Physics, Charles University, Ke Karlovu 3, 12116 Prague 2, Czech Republic
A consistent kinetic equation of nonlocal and non-instantaneous character is derived which unifies the achievements of transport in dense gases with the quantum transport of dense Fermi systems. The numerical solution is not more expensive than solving the Boltzmann equation. In order to achieve this, large cancellations in the off-shell motion have been used which are buried usually in non-Markovian behaviors. The remaining effects are: (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. The balance equations for the density, momentum and energy now include besides known quasiparticle parts additionally two-particle contributions exceeding the Landau theory. Different aplications are worked out. The collision delay results into the correlated density and consequently the number of quasiparticles is not conserved. In superconductors this leads to a shift of the chemical potential and the compensating electrostatic potential known as Bernoulli potential.