Regensburg 2004 – wissenschaftliches Programm
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DY: Dynamik und Statistische Physik
DY 20: Fractals and Nonlinearity I
DY 20.5: Vortrag
Dienstag, 9. März 2004, 10:45–11:00, H2
Modeling of filament interactions in a three-dimensional excitable reaction-diffusion system — •Markus Bär1, Camilo Rodriguez Neto1,2, Ulrich Storb3, and Stefan C. Müller3 — 1Max-Planck-Institute für die Physik komplexer Systeme, Nöthnitzer Strasse 38, D-01187 Dresden — 2Carl von Ossietzky Universität, Institut für Chemie und Biologie des Meeres, Carl-von-Ossietzky 9-11, D-26111 Oldenburg — 3Otto-von-Guericke-Universität, Institut für Experimentelle Physik, Universitätsplatz 2, D-39106 Magdeburg
Motivated by recent experiments in a chemical reaction, we study the interaction of scroll waves, the three dimensional extension of rotating spirals. Such scroll waves in excitable media possess in any planar cut through the volume a singularity around which the concentration profile rotates. The line that connects these centers is known as a filament. Here, we look at the interaction of corotating and counterrotating nonparallel filaments in numerical simulations of a generic excitable media, the Barkley model. In both cases, we observe repulsion and reconnection of the filaments in the areas where they approach each other closest. The interaction is accompanied by the generation of a local twisting and bending of the filament. This effects are explained by a decrease of rotation frequency around the filament due to local interactions. The bending is crucial for the unusual reconnection of corotating filaments, which is usually forbidden by topological arguments. We also discuss related effects in two-dimensions and three-dimensional heterogeneous media.