Via Hexagons to Squares in Ferrofluids: Experiments on Hysteretic Surface Transformations under Variation of the Normal Magnetic Field

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dc.creatorGollwitzer, Christian
dc.creatorRehberg, Ingo
dc.creatorRichter, Reinhard
dc.date2006-07-26
dc.date2006-09-12
dc.date.accessioned2026-07-07T07:22:27Z
dc.date.available2026-07-07T07:22:27Z
dc.descriptionWe report on different surface patterns on magnetic liquids following the Rosensweig instability. We compare the bifurcation from the flat surface to a hexagonal array of spikes with the transition to squares at higher fields. From a radioscopic mapping of the surface topography we extract amplitudes and wavelengths. For the hexagon--square transition, which is complex because of coexisting domains, we tailor a set of order parameters like peak--to--peak distance, circularity, angular correlation function and pattern specific amplitudes from Fourier space. These measures enable us to quantify the smooth hysteretic transition. Voronoi diagrams indicate a pinning of the domains. Thus the smoothness of the transition is roughness on a small scale.
dc.description17 pages, 14 figures
dc.identifierhttps://arxiv.org/abs/nlin/0607059
dc.identifierhttp://arxiv.org/abs/nlin/0607059
dc.identifierJ. Phys. Condens. Matter 18 (2006) S2643-S2656
dc.identifierdoi:10.1088/0953-8984/18/38/S08
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115666
dc.subjectPattern Formation and Solitons
dc.titleVia Hexagons to Squares in Ferrofluids: Experiments on Hysteretic Surface Transformations under Variation of the Normal Magnetic Field
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