Dresden 2017 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 54: Posters - Pattern Formation, Reaction Diffusion, Chimera

DY 54.10: Poster

Thursday, March 23, 2017, 17:00–19:30, P1A

Nonlinear patterns shape the domain on which they from — •Mirko Ruppert¹, Fabian Bermann¹, Lisa Rapp¹, Falko Ziebert², and Walter Zimmermann¹ — ¹Theoretische Physik I, Universität Bayreuth, 95440 Bayreuth, Germany — ²Physikalisches Institut, Universität Freiburg, Freiburg, Germany

In recent experiments with liquid drops on vertically vibrated surfaces [1,2] the formation of Faraday surface waves was investigated. By increasing the vibration amplitude, the magnitude of the surface stripe pattern increases and in addition the initially circular drop deforms into an elliptical or even a wormlike shape. We here present a model for stationary stripe patterns within an arbitrarily shaped domain, wherein pattern formation is restricted to a finite domain [3] of fixed area by coupling the Swift-Hohenberg model to a phase field. We investigate the self-consistent interplay between the pattern formation process and the shape of the domain on which it takes place.

[1] G. Pucci, E. Foret, M. Ben Amar, Y. Couder, Phys. Rev. Lett. 106, 024503 (2011)

[2] A. Hemmerle, G. Froehlicher, V. Bergeron, T. Charitat, J. Farago, EPL 111, 24003 (2015)

[3] L. Rapp, F. Bergmann, W. Zimmermann, EPL 113, 28006 (2016)