Dresden 2009 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 26: Poster II

DY 26.21: Poster

Donnerstag, 26. März 2009, 16:00–18:00, P1A

Towards an universal description of the kinematics of rigidly rotating spiral waves — •Martin Marmulla, Vladimir Zykov, and Harald Engel — Institut für Theoretische Physik, Technische Universität Berlin, D-10623 Berlin, Germany

Spiral wave patterns represent a famous example of self-organized spatio-temporal structures in excitable media. They have been observed in many experimental systems and reproduced numerically in different reaction-diffusion models. Up to now the problem of spiral wave selection has been solved only for special limits in the model parameters. Here we like to test a recently developed free-boundary approach, which intends to represent a universal method to predict rotation frequency and the shape of a rigidly rotating spiral in a broad parameter range. The prediction is based on the measurements of the duration and the propagation velocity of an excitation impulse in a periodic wave train. Our computations are performed within broad parameter ranges of different reaction-diffusion models, where rigidly rotating or meandering spiral waves are observed. A feedback control mechanism is used to suppress meandering and to produce rigidly rotating spirals for any model parameters. The agreement between the results of our reaction-diffusion computations and the predictions obtained with the proposed free-boundary approach is discussed.