Berlin 2012 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 7: Reaction-Diffusion-Systems

DY 7.2: Talk

Monday, March 26, 2012, 17:00–17:15, MA 144

Spiral wave selection in excitable media with a phase wave at the wave back — •Vladimir Zykov, Noriko Oikawa, and Eberhard Bodenschatz — Max Planck Institute for Dynamics and Self-Organization, D-37077 Goettingen, Germany

Universal relationships between the medium excitability and the angular velocity and the core radius of rigidly rotating spiral waves in excitable media are derived for situations where the wave front is a trigger wave and the wave back is a phase wave [1]. Such trigger-phase (TP)-waves are equally important for applications as commonly studied trigger-trigger (TT)-waves. Two universal limits restricting the region of existence of spiral TP-waves in the parameter space are demonstrated. The predictions of the free-boundary approach are in good quantitative agreement with results from numerical reaction-diffusion simulations performed on the Kessler-Levine model.

The proposed free-boundary approach opens perspectives to analyze TP-spiral waves in different kind of models including such important applications as chemical or cardiac excitable media.

1. V.S. Zykov, N. Oikawa, and E. Bodenschatz, Phys. Rev. Lett., accepted.