## Title data

Gollwitzer, Christian ; Spyropoulos, A. N. ; Papathanasiou, A. G. ; Boudouvis, A. G. ; Richter, Reinhard:

**The normal field instability under side-wall effects : comparison of experiments and computations.**

*In:* New Journal of Physics.
Vol. 11
(2009)
.
- no. 053016.

ISSN 1367-2630

DOI: https://doi.org/10.1088/1367-2630/11/5/053016

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## Abstract in another language

We consider a single spike of ferrofluid, arising in a small cylindrical

container, when a vertically oriented magnetic field is applied. The height of

the spike as well as the surface topography is measured experimentally by

two different technologies and calculated numerically using the finite element

method. As a consequence of the finite size of the container, the numerics

uncovers an imperfect bifurcation to a single spike solution, which is forward.

This is in contrast to the standard transcritical bifurcation to hexagons, common

for rotational symmetric systems with broken up-down symmetry. The numerical

findings are corroborated in the experiments. The small hysteresis observed is

explained in terms of a hysteretic wetting of the side wall.