https://doi.org/10.1007/s100510050304
Undulation instability in two-dimensional foams of magnetic fluid
1
Université Paris 7, Denis Diderot,
Unité de Formation et de Recherche de Physique (case 70.08),
2 place Jussieu,
75251 Paris Cedex 05, France
and
Laboratoire des Milieux Désordonnés et Hétérogènes (case 78),
Université Paris 6 (URA 800 du CNRS) ,
4 place Jussieu,
75252 Paris Cedex 05, France
2
Institute of Physics, Latvian Academy of Sciences
Salaspils 1, 2169 Riga, Latvia
Corresponding author: a elias@aomc.jussieu.fr
Received:
13
October
1997
Revised:
28
January
1998
Accepted:
9
March
1998
Published online: 15 May 1998
Two-dimensional magnetic fluid foams are cellular structures whose framework is made of magnetic fluid. The features of these equilibrated patterns are driven by a control parameter: the amplitude of the applied magnetic field. When the latter is rapidly increased, an instability occurs: the walls between cells undulate. Such an instability has also been observed in other 2D cellular structures, which exist for instance in Langmuir monolayers or in magnetic garnets thin films. In this paper we give a theoretical analysis of this instability, the issues of which are shown to be well confirmed by experiments and numerical simulations.
PACS: 75.50.Mm – Magnetic liquids / 46.30.Lx – Static buckling and instability
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1998