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DY: Fachverband Dynamik und Statistische Physik

DY 49: Pattern Formation (joint session DY/BP)

DY 49.5: Talk

Thursday, March 10, 2016, 10:45–11:00, H46

Reflection and orientation of nonlinear traveling waves in finite domains without boundaries — •Fabian Bergmann, Lisa Rapp, and Walter Zimmermann — Theoretische Physik, Universitaet Bayreuth, Bayreuth, Germany

We investigate the reflection and orientation of nonlinear traveling waves in finite domains. In a finite domain (part of large system) the control parameter is assumed to be supercritical inside the domain and to drop to subcritical values outside. In 2d systems we find that a control parameter drop orients the propagation of traveling waves parallel to the domain boundaries. In quasi 1d systems steep control parameter variations at the ends of a finite domain cause reflections of traveling waves. Steep drops may also lead to complex spatio-temporal scenarios inside the finite domain. This study is motivated by recent experiments [1], where traveling waves in finite stripes have been investigated. Our analysis is compared with a recent work on stationary stripe patterns in finite domains without boundary conditions for the dynamical fields [2].

[1] J. Schweizer, M. Loose, M. Bonny, K. Kruse, I. Moench, P. Schwille, Proc. Natl. Acad. Sci. (USA)109, 15283 (2012)

[2] L. Rapp, F. Bergmann, W. Zimmermann, arXiv:1512.05576 (2015)