Dynamics of an elongated magnetic droplet in a rotating field.
A model is proposed for the dynamics of an elongated droplet under the action of a low frequency rotating magnetic field. This model determines a set of critical frequencies at which the transitions to more complex bent shapes take place. These transitions occur through propagation of jumps of the droplet's axial tangent angle described by a nonlinear singularly perturbed partial differential equation with the intrinsic viscosity of the droplet playing the regularizing role.
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Institute of Physics, University of Latvia, Salaspils-1, LV-2169, Latvia. aceb@tesla.sal.lv