Transient electrophoresis of spherical colloidal particles in a multi-particle suspension

A general expression is derived for the Laplace transform of the time dependent transient electrophoretic mobility of spherical colloidal particles in a multi-particle suspension when a step external electric field is suddenly applied to the colloidal suspension. From the general mobility expression, we obtain a simple closed form expression for the Laplace transform of the time-dependent transient electrophoretic mobility of weakly charged spherical colloidal particles in an electrolyte solution. The obtained Laplace transform of the transient electrophoretic mobility of particles does not involve numerical integrations so that its inverse Laplace transform is easily obtained using calculation software.

Time-dependent transient Henry function for spherical colloidal particles in a multi-particle suspension.