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Via hexagons to squares in ferrofluids : experiments on hysteretic surface transformations under variation of the normal magnetic field

Title data

Gollwitzer, Christian ; Rehberg, Ingo ; Richter, Reinhard:
Via hexagons to squares in ferrofluids : experiments on hysteretic surface transformations under variation of the normal magnetic field.
In: Journal of Physics: Condensed Matter. Vol. 18 (September 2006) Issue 38 . - S2643-S2656.
ISSN 1361-648X
DOI: https://doi.org/10.1088/0953-8984/18/38/S08

Abstract in another language

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.

Further data

Item Type: Article in a journal
Refereed: Yes
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Chair Experimental Physics V > Chair Experimental Physics V - Univ.-Prof. Dr. Ingo Rehberg
Profile Fields > Advanced Fields > Nonlinear Dynamics
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Chair Experimental Physics V
Profile Fields
Profile Fields > Advanced Fields
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 530 Physics
Date Deposited: 28 Sep 2018 07:34
Last Modified: 28 Sep 2018 07:34
URI: https://eref.uni-bayreuth.de/id/eprint/42960