Brownian motion of a charged colloid in restricted confinement

We study the Brownian motion of a charged colloid, confined between two walls, for small separation colloid and walls. The system is embedded in an ionic solution. combined effect electrostatic repulsion reduced diffusion due to hydrodynamic forces results specific direction perpendicular confining apparent coefficient at short times as well characteristic time are shown follow sigmoid curve function dimensionless parameter. This parameter depends on properties can be controlled by tuning solution strength. At low strength, moves faster localized, while high strength it slower explores wider region resulting larger time.