Dynamics of the shape transition of a magnetic ferrofluid drop

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Abstract
The prolate ellipsoidal shape of a magnetic fluid drop becomes unstable at a certain magnetic field threshold : the drop jumps from a slightly elongated shape to a much more elongated shape. We describe theoretically the dynamics of this first order transition i.e. the relaxation time of this instability around the critical magnetic threshold. The critical divergence of the characteristic time of this instability, that we have measured in ferrofluid magnetic drops, is in reasonable agreement with our theoretical model

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