Abstract
Brownian dynamics simulations of two-dimensional Yukawa particles have been performed over a range of fluid densities in order to study the long-time behavior of the stress autocorrelation function in simple models for colloidal liquids. The system size and the trajectory length dependence of the shear stress autocorrelation function have been investigated in detail for simulation trajectories of length in excess of 1600${\mathrm{\ensuremath{\sigma}}}^{2}$/${\mathrm{D}}_{0}$. The results indicate that the decay of the shear-stress autocorrelation function has a fractional exponential form and is not algebraic in time, certainly up to times \ensuremath{\sim}${\mathrm{\ensuremath{\sigma}}}^{2}$/${\mathrm{D}}_{0}$ at which time the correlation function has decayed statistically to zero.
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