Regensburg 2016 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 31: Poster - Pattern Formation

DY 31.5: Poster

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

Measuring the stable range of localised patches of ferrofluidic spikes — •Robin Maretzki, Ingo Rehberg, and Reinhard Richter — Experimentalphysik 5, Universität Bayreuth

Spatial localisation has been predicted for many physical systems, however a comparison of experiment and theory is sparse - see [1] for a review. A convenient experiment is a layer of ferrofluid subjected to a homogeneous magnetic induction B. By applying local magnetic pulses localised radially symmetric spikes [2] have been generated in the bistable regime of the Rosensweig instability. Moreover, utilizing a pulse sequence in B, different localised hexagon patches have been uncovered in experiment [3]. Similar patches have been found as well by applying numerical continuation techniques to the Young-Laplace- and coupled Maxwell equations [3]. They undergo a ’homoclinic snaking’ scenario, where each alternating turn of a ’snake’ in control parameter phase space is correlated with a discontinuous jump of the topography of the localized pattern. In our contribution we investigate for the first time the range of stability of a patch under continuous variation of B, and the effects of magnetophoresis and magnetoviscosity.

1. E. Knobloch, Annu. Rev. Condens. Matter Phys. 6, 325 (2015).
2. R. Richter, I. Barashenkov, Phys. Rev. Lett. 94, 184503 (2005).
3. D. B. Lloyd, C. Gollwitzer, I. Rehberg, R. Richter, J. Fluid. Mech. 783, 283 (2015).