The polarization of surface charges on a spherical particle in alternating electric fields is simulated using a random walk method. At low field strengths, the simulated polarization is in good agreement with the modified Maxwell-Wagner model. As the applied field increases, the polarization enters a non-linear region and becomes saturated. In a shear field, the polarization of the surface charges develops a perpendicular component relative to the applied electric field, and the polarization is elliptical in general. A resonance is seen when the spinning rate and the angular frequency of the applied field match. This agrees with earlier theoretical and experimental work by Block, et al. The interaction between two spinning particles and the locking of particle spinning due to the applied field is discussed.
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