Berlin 2005 – wissenschaftliches Programm

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DY: Dynamik und Statistische Physik

DY 34: Poster

DY 34.50: Poster

Montag, 7. März 2005, 15:30–18:00, Poster TU D

Bifurcation in kinetic equation for interacting Fermi systems — •K. Morawetz — Institute of Physics, Chemnitz University of Technology, 09107 Chemnitz, Germany — Max-Planck-Institute for the Physics of Complex Systems, Nöthnitzer Str. 38, 01187 Dresden, Germany

The nonlocal quantum kinetic equation for dense interacting Fermi systems [1,2] combines time derivatives with finite time stepping known from the logistic mapping [3]. This continuous delay differential equation equation is a consequence of the microscopic delay time representing the dynamics of the deterministic chaotic system. The responsible delay time is explicitly calculated and discussed for short range correlations. As a novel feature oscillations in the time evolution of the distribution function itself appear and bifurcations up to chaotic behavior occur [3]. The temperature and density conditions are presented where such oscillations and bifurcations arise indicating an onset of phase transition.

[1] P. Lipavský, K. Morawetz, and V. Špička; Annales de Physique, Paris, 2001, No. 26, 1, ISBN 2-86883-541-4

[2] K. Morawetz, P. Lipavsk’y, V. Spicka; Ann. Phys. 294 (2001) 135

[3] K. Morawetz; CHAOS 13 (2003) 572