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The drift and diffusion of a cloud of ions in a fluid are distorted by aninhomogeneous electric field. If the electric field carries the center of thedistribution in a straight line and the field configuration is suitablysymmetric, the distortion can be calculated analytically. We examine thespecific examples of fields with cylindrical and spherical symmetry in detailassuming the ion distributions to be of a generally Gaussian form. The effectsof differing diffusion coefficients in the transverse and longitudinaldirections are included.

Solvable Examples of Drift and Diffusion of Ions in Non-uniform Electric Fields