G. Viramontesgamboa et al., BROWNIAN-MOTION OF COLLOIDAL PARTICLES IN A MODEL POROUS-MEDIUM, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 52(4), 1995, pp. 4035-4044
The motion of interacting colloidal particles diffusing in a model por
ous medium is studied by means of computer simulations using a Brownia
n dynamics algorithm. The particles are assumed to interact through a
repulsive Yukawa pair potential. The porous medium is formed by a frac
tion of the colloidal particles whose positions are frozen in a given
spatial configuration. Varying the molar fraction of the mobile partic
les, keeping constant the total particle concentration, and/or varying
the parameters of the pair potential; we vary the effective porous me
dium in which the mobile particles diffuse. Here we report results for
the mean squared displacement of the mobile particles for different v
alues of their molar fraction and of the Yukawa amplitude. We compare
our results with theoretical calculations from two independent approac
hes to the description of tracer diffusion in colloidal mixtures, by c
onsidering the case in both theories, in which a fraction of the parti
cles has vanishing free-diffusion coefficient. We find that both theor
ies predict the same basic qualitative trends for the mean squared dis
placement obtained from the Brownian dynamics experiments. For complet
eness, we also present the static structure of the colloidal suspensio
n permeating our model porous medium.