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SFB 591

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SFB 591 » Projekte » A1
 

Title

Stochastic fields with structures: Universal behavior of chaotic transport

Project manager

Prof. Dr. Karl Heinz Spatschek
Institut für Theoretische Physik I
Heinrich-Heine-Universität Düsseldorf

Dr. Sadrilla Abdullaev
Institut für Plasmaphysik
Forschungszentrum Jülich

Prof. Dr. Reinhard Schlickeiser
Institut für Theoretische Physik IV
Weltraum- und Astrophysik
Ruhr-Universität Bochum

Mitarbeiter »

  Summary
  Goals

The central scientific question "Global behavior in (partial) chaotic transport" is on one hand deduced from experimental achievements and sightings and on the other hand from theory itself. Among other projects subproject A1 especially shows (with close collaboration to subproject A2) why structured stochastic magnetic fields are of great experimental relevance in laboratory plasmas. Astrophysical observations point beyond that into the same direction: Magnetic fields possess predominantly a nontrivial structure and contain in many cases an additional stochastic component (see A3 and A6). For both ranges, "laboratory plasmas and astrophysical systems" this means that increasingly models with chaotic magnetic lines of flux (of incompletely chaotic up to turbulent) lie in the center of the interest. The subproject A1 dedicates itself to the special aspects, that occur when the incomplete chaos prevails and strikes thereby a bridge also to astrophysical concepts.

The analysis of magnetic field systems lives crucially on the fact that it concerns (continuous) Hamiltonian systems. As the first goal we pursue the "simplification" of such complex nonlinear systems. We want to reach this goal by an improvement of the illustration technology and a comparison of illustrations with the complete (continuous) system. The characterisation of the incomplete chaos is the center of attention thereby. In the form of discrete illustrations, which show the structure of the accurate system well, the tool for statistic evaluations (average values, variances) is to be supplied. This "simplification" should be able to deal quite generally with Hamiltonian systems , thus for magnetic field systems, in addition, for gyration centers on the basis of "guiding center equations" into partial chaotic systems. Open in this relationship are still the questions about corrections of higher order, the convergence and stability (the numeric algorithms which are based on it).

 
 
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