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PACS. 82.70.Dd – Colloids. PACS. 83.10.Mj – Molecular dynamics, Brownian dynamics.

By P. Szymczak and B. Cichocki

Abstract

PACS. 05.60.-k – Transport processes. Abstract. – The problem of memory contribution to the collective diffusion coefficient of interacting Brownian particles is considered. A well-defined theoretical expression for this contribution, free of divergent integrals, is derived. Its value is then estimated for hard sphere suspensions numerically by means of extensive computer simulations. A good physical model for a broad class of suspensions is the system of interacting Brownian particles. Despite a great number of important contributions to the field (see [1] for a review), there are still many areas in which theoretical results are scarce. One of these is the problem of memory contribution to the collective-diffusion coefficient in colloidal suspensions. We consider N identical spherical particles performing Brownian motion in an incompressible viscous fluid at temperature T. On the time scale characteristic for light scattering experiments the evolution of the configuration space distribution function P (X,t) is described by the generalized Smoluchowski equation [1] P (X,t)=D(X,t)P(X,t)

Year: 2002
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