Eur. Phys. J. E (2015) 38: 21
https://doi.org/10.1140/epje/i2015-15021-8

Regular Article

Bond lifetime and diffusion coefficient in colloids with short-range interactions

Laboratoire “Physique de Liquides et Milieux Complexes”, Faculté des Sciences et Technologie, Université Paris-Est, Créteil, 61 avenue du Général de Gaulle, 94010, Créteil Cedex, France

^* e-mail: amokrane@u-pec.fr

Received: 30 December 2014
Revised: 20 February 2015
Accepted: 23 February 2015
Published online: 30 March 2015

Abstract

We use molecular dynamics simulations to study the influence of short-range structures in the interaction potential between hard-sphere-like colloidal particles. Starting from model potentials and effective potentials in binary mixtures computed from the Ornstein-Zernike equations, we investigate the influence of the range and strength of a possible tail beyond the usual core repulsion or the presence of repulsive barriers. The diffusion coefficient and mean “bond” lifetimes are used as indicators of the effect of this structure on the dynamics. The existence of correlations between the variations of these quantities with the physical parameters is discussed to assess the interpretation of dynamics slowing down in terms of long-lived bonds. We also discuss the question of a universal behaviour determined by the second virial coefficient B ⁽²⁾ and the interplay of attraction and repulsion. While the diffusion coefficient follows the B ⁽²⁾ law for purely attractive tails, this is no longer true in the presence of repulsive barriers. Furthermore, the bond lifetime shows a dependence on the physical parameters that differs from that of the diffusion coefficient. This raises the question of the precise role of bonds on the dynamics slowing down in colloidal gels.