• Medientyp: E-Artikel
  • Titel: Bifurcation in kinetic equation for interacting Fermi systems
  • Beteiligte: Morawetz, Klaus
  • Erschienen: AIP Publishing, 2003
  • Erschienen in: Chaos: An Interdisciplinary Journal of Nonlinear Science
  • Sprache: Englisch
  • DOI: 10.1063/1.1576209
  • ISSN: 1054-1500; 1089-7682
  • Schlagwörter: Applied Mathematics ; General Physics and Astronomy ; Mathematical Physics ; Statistical and Nonlinear Physics
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  • Beschreibung: <jats:p>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 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.</jats:p>