Regensburg 2019 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 15: Pattern Formation

DY 15.11: Talk

Tuesday, April 2, 2019, 12:45–13:00, H3

Nonlinear patterns shape their domain on which they live — •Mirko Ruppert¹, Falko Ziebert² und Walter Zimmermann¹ — ¹Theoretical Physics I, University of Bayreuth, Germany — ²Institute for Theoretical Physics, Heidelberg University, Germany

We investigate nonlinear pattern formation on a finite domain with fixed area but flexible borders. The self-consistent interplay between the stationary stripe pattern of a Swift Hohenberg model and the domain boarders, described by a phase field, may reshape the domain. With increasing amplitude of the stripe pattern the nearly circular domain for a small pattern amplitude deforms with increasing amplitude into an elliptical shaped domain. The behavior of this coupling resembles experimental observations made for vertically vibrated liquid drops. We also couple the Cahn-Hilliard model to a phase field, where the demixing process of a binary emulsion deforms the domain shape.