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Regensburg 2004 – scientific programme

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DY: Dynamik und Statistische Physik

DY 20: Fractals and Nonlinearity I

DY 20.4: Talk

Tuesday, March 9, 2004, 10:30–10:45, H2

Interaction of filaments in an excitable chemical reaction — •Ulrich Storb1, Camilo Rodriguez Neto2, Markus Bär3, and Stefan C. Müller11Otto-von-Guericke-Universität, Institut für Experimentelle Physik, Universitätsplatz 2, D-39106 Magdeburg — 2Carl von Ossietzky Universität, Institut für Chemie und Biologie des Meeres, Carl-von-Ossietzky 9-11, D-26111 Oldenburg — 3Max-Planck-Institute für die Physik komplexer Systeme, Nöthnitzer Strasse 38, D-01187 Dresden

Two-dimensional Belousov-Zhabotinsky reaction systems (BZR-systems) are often dominated by spiral waves, i.e. a spiral shaped reaction front spatially mediates a certain frequency behavior. In three dimensions the variety of exhibited wave phenomena is much broader. Organizing centers of these dynamical structures are phase singularities, which in three dimensions take the shape of curves (filaments). Along a filament the spatially distributed oscillations become synchronized. Temporally and spatially resolved observations of chemical wave structures are possible by optical tomography. We present results of a study on the interaction of such vortex like wave structures, resp. their filaments. It is known that the frequency of a spiral is effected by the presence of a further phase singularity; the effect thereby depends on the distance between the spiral cores. In three dimensions the distance between the organizing centers is not unique, therefore there is a competition of various frequency determining processes. The result is a complex interaction which will be reported.

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