Rotation of the leaky dielectric particle in a rotating electric field

We study the rotation of a weakly conducting particle around its axis of symmetry under the action of the external electric field, which spins in the plane normal to the axis of symmetry of the particle. The particle is embedded in a homogeneous stationary medium with finite electric conductivity permittivity that are different from the corresponding parameters of the particle. We determined the dependence of the particle angular velocity upon the amplitude angular velocity of the electric field. It is shown that depending upon the ratios of the particle electric conductivity permittivity to the corresponding parameters of the host medium the direction of rotation of the particle can be identical or opposite to the direction of rotation of the external electric field. We determined the amplitude-dependent critical angular velocity of the external electric field that separates the domains with two possible regimes of rotation of the particle. In the first domain the particle rotates only in one direction, while in the second domain the particle may rotate in two directions. We investigated also the stability of different regimes of rotation of the particle.