Regensburg 2016 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 31: Poster - Pattern Formation

DY 31.12: Poster

Tuesday, March 8, 2016, 18:15–21:00, Poster C

Wavenumber restriction in narrow anisotropic pattern forming systems — •Konstantin Speckner, Fabian Bergmann, Lisa Rapp, and Walter Zimmermann — Theoretische Physik, Universität Bayreuth, Bayreuth, Germany

We investigate stripe patterns in anisotropic pattern forming systems, wherein stripes orient perpendicular (y-direction) to the preferred x-direction. In such systems supercritically bifurcating stripes are stable within a finite range of wavenumbers, the so-called Eckhaus stability band. We study for this class, how spatial variations of the control parameter along the y-direction restrict the band of stable wave numbers? We use simulations of a 2d anisotropic Swift-Hohenberg model where the control parameter is supercritical in a narrow subdomain along the y-axis and then drops down to subcritical values outside that y-domain. The wavenumber range of stable periodic patterns is restricted when the control parameter drops down to subcritical values outside a finite y-domain. We also show that this wavenumber restriction depends on the steepness of such control parameter drops. As a result, the number of defects in stripe patterns evolving from random initial conditions is reduced. Furthermore, we discuss possible applications to wrinkle forming systems.