Bifurcation in kinetic equation for interacting Fermi systems

Details Bifurcation in kinetic equation for interacting Fermi systems Bifurcation in kinetic equation for interacting Fermi systems

2000-12-08

arxiv.org/abs/nucl-th/0012028v5

CHAOS 13 (2003) 572

Physics

Nuclear Physics

Nuclear Theory

Scientific paper

10.1063/1.1576209

The finite duration of collisions appear as time-nonlocality in the kinetic equation. Analyzing the corresponding quantum kinetic equation for dense interacting Fermi systems a delay differential equation is obtained which combines time derivatives with finite time stepping known from the logistic mapping. The responsible delay time is explicitly calculated and discussed. As a novel feature oscillations in the time evolution of the distribution function itself appear and bifurcations up to chaotic behavior can occur. The temperature and density conditions are presented where such oscillations and bifurcations arise indicating an onset of phase transition.

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