Regensburg 2002 – scientific programme

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DY: Dynamik und Statistische Physik

DY 46: Poster

DY 46.7: Poster

Thursday, March 14, 2002, 15:30–18:00, D

Bifurcation in kinetic equation for interacting Fermi systems — •Klaus Morawetz — Max-Planck-Institute for the Physics of Complex Systems, Noethnitzer Str. 38, 01187 Dresden, Germany

The recently derived nonlocal quantum kinetic equation for dense interacting Fermi systems combines time derivatives with finite time stepping known from the logistic mapping. 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. The temperature and density conditions are presented where such oscillations and bifurcations arise indicating an onset of phase transition.