Non-linear analysis of the surface profile resulting from the one-dimensional Rosensweig instability

Authors
Engel, A Langer, H Chetverikov, V
Citation
A. Engel et al., Non-linear analysis of the surface profile resulting from the one-dimensional Rosensweig instability, J MAGN MAGN, 195(1), 1999, pp. 212-219
Citations number
14
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science
Journal title
JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS
ISSN journal
03048853 → ACNP
Volume
195
Issue
1
Year of publication
1999
Pages
212 - 219
Database
ISI
SICI code
0304-8853(199904)195:1<212:NAOTSP>2.0.ZU;2-O
Abstract
The instability of the free surface of a ferrofluid subject to an external magnetic field normal to the undisturbed surface is investigated in one dim ension. Using a pertubation analysis up to fifth order in the surface defle ction the character of the bifurcation is elucidated. Moreover, from the am plitudes of the higher harmonics in the pertubation ansatz the approximate static profile of the surface in the non-linear regime is obtained. (C) 199 9 Published by Elsevier Science B.V. All rights reserved.