Low Temperature Physics: 37, 812 (2011); https://doi.org/10.1063/1.3670022 (3 pages)
Fizika Nizkikh Temperatur: Volume 37, Number 9-10 (September 2011), p. 1019-1021 ( to contents , go back )
Rosensweig instability in ferrofluids
Landau Institute for Theoretical Physics, RAS Kosygina, 2, Moscow 119334 ,Russia
Laue-Langevin Institute, Grenoble F-38042, France
Received December 1, 2010
We propose a simple model to analyze stability of the free surface of horizontally unbound ferrofluid in a vertical magnetic field. With respect to the well known Rosensweig instability (see e.g., R.E.Rosensweig, Ferro hydrodynamics, Cambridge University Press, Cambridge (1993) and references therein) we go one step further to include into consideration coupling of surface displacements to non-magnetic degree of freedoms. We show that the coupling can lead to a considerable reduction of the critical magnetic field and as well yields to nontrivial depletion layering near the surface.
PACS: 47.20.Mа Interfacial instabilities;
Key words: ferrofluids, Rosensweig instability.