Kinetics of depletion interactions

TL;DR

This paper investigates the time-dependent behavior of depletion interactions in colloidal systems, revealing non-exponential fluctuation decay and providing a scaling theory to describe these dynamics.

Contribution

It introduces a novel scaling theory for depletion force fluctuations and demonstrates their power-law decay through Brownian dynamics simulations.

Findings

Fluctuations in depletion forces decay as a power law, not exponentially.

The magnitude of fluctuations depends on time, inter-particle distance, and size ratio.

The scaling theory accurately predicts fluctuation behavior in colloidal mixtures.

Abstract

Depletion interactions between colloidal particles dispersed in a fluid medium are effective interactions induced by the presence of other types of colloid. They are not instantaneous but build up in time. We show by means Brownian dynamics simulations that the fluctuations in the depletion force between two guest particles in a host dispersion of differently sized colloids do not decay exponentially with time, but show a power-law dependence. A simple scaling theory accurately describes the dependence of the magnitude of these fluctuations on time, on the inter-particle distance and on the size ratio of guest and host particles. The consequences in particular for the dynamics of colloidal mixtures are discussed.