منابع مشابه
Amplitude Equation for the Rosensweig Instability
The Rosensweig instability is a prominent example for a surface driven instability, where the deformation of the surface is amplified by an external generalized force, the normal magnetic field, and finally settles at a spatial pattern of spike deformations. This property has so far prohibited the derivation of an amplitude equation by means of the standard weakly nonlinear analysis. Here we gi...
متن کاملMagnetic-field-driven instability in stratified ferrofluids.
We describe a convective instability of a stratified ferrofluid subject to a magnetic field. The ferrofluid is described as binary mixture featuring two important dimensionless numbers the barometric one B and the magnetic barometric one Bm. At the field strength, where the latter exceeds the former, instability sets in. We discuss the growth rate of linear perturbations and the amplitude of no...
متن کاملSurface Waves and Rosensweig Instability in Isotropic Ferrogels
We derive the dispersion relation of surface waves for isotropic magnetic gels in the presence of an external magnetic field normal to the free surface. Above a critical field strength surface waves become linearly unstable with respect to a stationary pattern of surface protuberances. This linear stability criterion generalizes that of the Rosensweig instability for ferrofluids by taking into ...
متن کاملDynamics of a Single Peak of the Rosensweig Instability in a Magnetic Fluid
To describe the dynamics of a single peak of the Rosensweig instability a model is proposed which approximates the peak by a half-ellipsoid atop a layer of magnetic fluid. The resulting nonlinear equation for the height of the peak leads to the correct subcritical character of the bifurcation for static induction. For a time-dependent induction the effects of inertia and damping are incorporate...
متن کاملMagnetic traveling-stripe forcing: Enhanced transport in the advent of the Rosensweig instability.
A contactless pumping mechanism is realized in a layer of ferrofluid via a spatiotemporally modulated magnetic field. The resulting pressure gradient leads to a liquid ramp, which is measured by means of x-rays. The transport mechanism works best if a resonance of the surface waves with the driving is achieved. The behavior can be understood by considering the magnetically influenced dispersion...
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ژورنال
عنوان ژورنال: Low Temperature Physics
سال: 2011
ISSN: 1063-777X,1090-6517
DOI: 10.1063/1.3670022