6533b838fe1ef96bd12a52c0

RESEARCH PRODUCT

Dynamics of an elongated magnetic droplet in a rotating field

Andrejs Cebers

subject

Physics::Fluid DynamicsPhysicsRotating magnetic fieldNonlinear systemPartial differential equationClassical mechanicsField (physics)Bent molecular geometryTangentLow frequencyAction (physics)

description

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.

https://doi.org/10.1103/physreve.66.061402