Effective dipole moment of intersecting conducting spheres

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Abstract
In this paper the effective dipole moment of two intersecting, electrically conducting spheres is calculated by using the method of electrical inversion. By invoking the constraint that the volume of the body formed by the two intersecting spheres must be fixed and equal to the original volume of the two spheres, a simple model for fusing biological cells, coalescing liquid droplets, etc., is developed. With this volume-constrained effective dipole moment, the net dielectrophoretic force on merging particles may be calculated as a function of their center-to-center spacing.

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