Electrophoresis of Two Identical Cylindrical Particles along the Axis of a Cylindrical Pore

The electrophoresis of two finite, identical cylinders along the axis of an uncharged cylindrical pore is analyzed under the conditions of low electrical potential and weak applied electric field. This geometry allows us to examine simultaneously the effects of the presence of a boundary and the interaction between particles on the electrophoretic behavior of particles. The result of numerical simulation reveals that the effect of particle-particle interaction on the pair mobility of particles can be significant if the thickness of the double layer surrounding a particle is comparable to half the separation distance between them. However, this effect is less significant compared with that arising from the presence of the pore. We show that the boundary effect on electrophoresis for the case of nonuniformly charged particles is more important than that for the case of uniformly charged particles. The effect of particle-particle interaction on electrophoresis for the case of two cylinders is stronger than that for the case of two spheres.