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Reorientation of a hexagonal pattern under broken symmetry : The hexagon flip

DOI zum Zitieren dieses Dokuments: https://doi.org/10.1103/PhysRevE.76.055301
URN to cite this document: urn:nbn:de:bvb:703-epub-3980-5

Title data

Groh, Christopher ; Richter, Reinhard ; Rehberg, Ingo ; Busse, Friedrich H.:
Reorientation of a hexagonal pattern under broken symmetry : The hexagon flip.
In: Physical Review E. Vol. 76 (November 2007) Issue 5 . - Art. Nr. 055301(R).
ISSN 1550-2376
DOI: https://doi.org/10.1103/PhysRevE.76.055301

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Abstract

An unexpected pattern transition has been found experimentally in the transformation from hexagons to stripes caused by an applied anisotropy effect. The particular system studied is the surface instability of a horizontal layer of magnetic liquid in a tilted magnetic field. Two orthogonal Helmholtz pairs of coils provide a vertical and a tangential magnetic field. Whereas the vertical component destabilizes the flat layer, the tangential one preserves its stability. The ensuing surface patterns comprise regular hexagons, anisotropic hexagons, and stripelike ridges. The phase diagram for the tilted field instability is measured using a radioscopic technique. The investigation reveals an interesting effect: the flip from one hexagonal pattern to another under an increasing tangential field component, which is explained in terms of amplitude equations as a saddle-node bifurcation.

Further data

Item Type: Article in a journal
Keywords: Magnetic fluids and ferrofluids; Pattern selection, pattern formation; Buoyancy-driven flows, convection
DDC Subjects: 500 Science > 530 Physics
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
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-3980-5
Date Deposited: 28 Jan 2019 11:42
Last Modified: 28 Jan 2019 11:51
URI: https://epub.uni-bayreuth.de/id/eprint/3980

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