Abstract

We consider a rigid body of arbitrary shape with a permanent charge distribution and a permanent dielectric profile immersed in a fluid with a frequency dependent dielectric constant. The body performs small oscillatory translational and rotational motions and the whole system is subjected to an applied electric field oscillating at the same frequency. The force and torque on the body and its external dipole moment are related by a resistance matrix to the translational and rotational velocity and the applied electric field. We show on the basis of the equations of linear electrohydrodynamics that the resistance matrix is symmetric. This may be regarded as an example of Onsager symmetry.

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