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DY: Fachverband Dynamik und Statistische Physik
DY 27: Nonlinear Dynamics, Synchronization and Chaos - Part II
DY 27.5: Vortrag
Donnerstag, 3. April 2014, 10:30–10:45, ZEU 160
Magnetic Spatial Forcing of a Ferrofluid Layer — •Florian Maier, Ingo Rehberg, and Reinhard Richter — Experimentalphysik 5, Universität Bayreuth, D-95444 Bayreuth
In isotropic two-dimensional pattern-forming systems with broken up-down symmetry, hexagons are the first pattern to arise due to a transcritical bifurcation, as summarized in [1]. One famous example is the Rosensweig instability at an interface between ferrofluid and air subjected to a normal magnetic field [2]. However, stripes become the preferred pattern for a spatially periodic resonant forcing [1]. Experiments have been performed using a thin layer of ferrofluid forced by means of a one-dimensional array of current carrying wires [3] with km=kc. Here km (kc) denotes the modulation (capillary) wave number, respectively. We report new results for a larger aspect ratio, taking also into account a varying layer thickness.
[1] R. Peter, M. Hilt, F. Ziebert, J. Bammert, C. Erlenkämper, N. Lorscheid, C. Weitenberg, A. Winter, M. Hammele, and W. Zimmermann, Phys Rev. E, 71, 046212 (2005).
[2] M. D. Cowley and R. E. Rosensweig, J. Fluid Mech., vol. 30, no. 4, pp. 671-688 (1967).
[3] Th. Friedrich, A. Lange, I. Rehberg, R. Richter, Magnetohydrodynamics, Vol. 47, No. 2, pp. 167-173 (2011).