Self-consistent generalized Langevin equation for colloid dynamics Article uri icon

abstract

  • We present a general self-consistent theory of colloid dynamics which, for a system without hydrodynamic interactions, allows us to calculate [formula presented] and its self-diffusion counterpart [formula presented] given the effective interaction pair potential [formula presented] between colloidal particles, and the corresponding equilibrium static structural properties. This theory is build upon the exact results for [formula presented] and [formula presented] in terms of a hierarchy of memory functions, derived from the application of the generalized Langevin equation formalism, plus the proposal of Vineyard-like connections between [formula presented] and [formula presented] through their respective memory functions, and a closure relation between these memory functions and the time-dependent friction function [formula presented] As an illustrative application, we present and analyze a selection of numerical results of this theory in the short- and intermediate-time regimes, as applied to a two-dimensional repulsive Yukawa Brownian fluid. For this system, we find that our theory accurately describes the dynamic properties contained in [formula presented] in a wide range of conditions, including strongly correlated systems, at the longest times available from our computer simulations. © 2001 The American Physical Society.

publication date

  • 2001-01-01