Colloid-colloid and colloid-wall interactions in driven suspensions

Abstract

We investigate the non-equilibrium fluid structure mediated forces between two colloids driven through a suspension of mutually non-interacting Brownian particles as well as between a colloid and a wall in stationary situations. We solve the Smoluchowski equation in bispherical coordinates as well as with a method of reflections, both in linear approximation for small velocities and numerically for intermediate velocities, and we compare the results to a superposition approximation considered previously. In particular we find an enhancement of the friction (compared to the friction on an isolated particle) for two colloids driven side by side as well as for a colloid traveling along a wall. The friction on tailgating colloids is reduced. Colloids traveling side by side experience a solute induced repulsion while tailgating colloids are attracted to each other.

8 Pages, 8 figures

References in corpus (4)

• Dynamic Density Functional Theory of Fluids
• Dynamical density functional theory for interacting Brownian particles: stochastic or deterministic?
• Understanding depletion forces beyond entropy
• Depletion forces in non-equilibrium

Cited by in corpus (9)

• Classical dynamical density functional theory: from fundamentals to applications
• A dynamic density functional theory for particles in a flowing solvent
• Bias- and bath-mediated pairing of particles driven through a quiescent medium
• Density profiles of a colloidal liquid at a wall under shear flow
• Diffusion of a sphere in a dilute solution of polymer coils
• Non-equilibrium forces following quenches in active and thermal matter
• Anomalous field-induced growth of fluctuations in dynamics of a biased intruder moving in a quiescent medium
• Quantum friction in the presence of a perfectly conducting plate
• Dynamic Density Functional Theory with Inertia and Background Flow