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DY: Fachverband Dynamik und Statistische Physik

DY 5: Reaction-Diffusion Systems

DY 5.2: Vortrag

Montag, 11. März 2013, 15:15–15:30, H48

Analytic solution for stabilized wave segments in an excitable medium — •Vladimir Zykov and Eberhard Bodenschatz — Max Planck Institute for Dynamics and Self-Organization, D-37077 Goettingen, Germany

The relationships between the medium excitability and the propagating velocity and the shape of a stabilized wave segment in excitable media are analytically derived for the wave with a trigger front and a phase wave at the wave back. Two universal limits restricting the region of existence of wave segments in the parameter space are demonstrated [1]. 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.

[1] V.S. Zykov and E. Bodenschatz, Phys. Rev. Lett., submitted.