Jfm. Lodge et Dm. Heyes, BROWNIAN DYNAMICS SIMULATIONS OF AGGREGATION AND GEL FORMATION IN LENNARD-JONES FLUIDS, Physics and chemistry of liquids, 31(4), 1996, pp. 209-230
We report structural, thermodynamic and rheological properties of a th
ree dimensional Lennard-Jones fluid as it is quenched, at various dens
ities, from above the critical temperature into the two phase gas-liqu
id coexistence region. The structural and dynamical behaviour observed
has many similarities with a sol-gel transition. There is a growth in
cluster size for the spherical particles, evident also in growing pea
k heights in the radial distribution Function, with the formation of a
percolating network at low temperature (T similar to 0.2-0.3) and at
sufficiently high volume fractions (>0.1). This change is also marked
by diverging structural relaxation times, manifest in an increasing vi
scosity and decreasing self-diffusion coefficient during the quench. T
he shear stress time correlation functions exhibit stretched exponenti
al behaviour at long time. In fact, limiting long time relaxation is d
ominated by a single relaxation time, which is evident in excellent Ma
xwell-like viscoelastic behaviour in the low Frequency region of the d
ynamic moduli.