Electrophoretic Mobility of a Polyelectrolyte-Adsorbed Particle: Effect of Segment Density Distribution

Varoqui's theory [Nouv. J. Chim. 6, 187 (1982)] for the electrophoretic mobility of a charged colloidal particle adsorbed by neutral polymers with an exponential distribution of the polymer segments is extended to the case where adsorbed polymers are charged. An analytic mobility expression is derived on the basis of the linearized Poisson-Boltzmann equation. Comparison is made with the case of particles coated with a polyelectrolyte layer of fixed thickness with uniform segment distribution.