期刊
JOURNAL OF PHYSICS-CONDENSED MATTER
卷 18, 期 38, 页码 S2643-S2656出版社
IOP PUBLISHING LTD
DOI: 10.1088/0953-8984/18/38/S08
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We 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.
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