The thermodynamic decomposition of an unstable thermostatted system of
Lennard-Jones disks is investigated by nonequilibrium molecular dynam
ics. The system, first unsheared and then subjected to planar Couette
flow, is studied after temperature quenches into the unstable vapor-li
quid and the vapor-solid coexistence regions of the phase diagram. An
interconnected morphology, characteristic of spinodal decomposition, f
orms after quenching. The cluster growth is found tp be temporally sel
f-similar, and the structure factor S(q,t) obeys the dynamic scaling r
elation S(q,t)similar to q(m) (-df)(t)(S) over tilde[q/q(m)(t)]. Here,
q is the scattered wave vector magnitude, q(m)(t) is the location of
the low angle peak in S(q,t), (S) over tilde(x) is a time-independent
structure function which has a maximum at x- 1, and d(f) is a fractal
dimension. d(f) is relatively insensitive to the postquench state poin
t, but may depend on the shear rate. The primary influence of shear is
to accelerate the aggregation-an effect that has also been observed e
xperimentally in dense gelling silica suspensions. The similarities be
tween these simulations and experiment suggest that a characteristic f
ractal dimension of a dense gel may be determined from measurements of
S(q,t).