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DY: Fachverband Dynamik und Statistische Physik

DY 24: Poster I

DY 24.28: Poster

Mittwoch, 28. März 2007, 16:00–18:00, Poster D

Kinematics of excitation waves rotating within an annular channel — Harald Engel, •Hartmut Lentz, and Vladimir Zykov — Technische Universität Berlin

Excitation waves are typical examples for pattern formation processes in reaction-diffusion media of quite different nature. We consider rotating wave patterns in an annular channel of arbitrary inner radius. Varying the inner radius from zero to the outer radius we connect the limiting cases of a two-dimensional disc and a one-dimensional ring.

We study the free-bounday formulation of the waves, which reduces the underlying reaction-diffusion system to the kinematics of the propagating wave fronts. The inner and the outer radii of the channel are considered as the most important control parameters. The refractoriness of the medium is also taken into account. The results of this simplified approach are compared with the direct integration of the excitation medium model.