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The thermodynamic decomposition of an unstable thermostatted system of Lennard-Jones disks is investigated by nonequilibrium molecular dynamics. The system, first unsheared and then subjected to planar Couette flow, is studied after temperature quenches into the unstable vapor-liquid and the vapor-solid coexistence regions of the phase diagram. An interconnected morphology, characteristic of spinodal decomposition, forms after quenching. The cluster growth is found to be temporally self-similar, and the structure factor S(q,t) obeys the dynamic scaling relation S(q,t){~}qₘ^-df(t)S ̃ \~{}{}[q/qₘ(t)]. Here, q is the scattered wave vector magnitude, qₘ(t) is the location of the low angle peak in S(q,t), S ̃ \~{}{}(x) is a time-independent structure function which has a maximum at x=1, and df is a fractal dimension. df is relatively insensitive to the postquench state point, but may depend on the shear rate. The primary influence of shear is to accelerate the aggregation---an effect that has also been observed experimentally in dense gelling silica suspensions. The similarities between these simulations and experiment suggest that a characteristic fractal dimension of a dense gel may be determined from measurements of S(q,t). {} 1996 The American Physical Society.
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Butler et al. (1996) studied this question.
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