Nonequilibrium Brownian dynamics simulations are used to study the eff
ect of polydispersity on the thermodynamics, rheology, microstructure,
and shear-induced disorder-order transition in suspensions of charged
colloids. Approximately 43 000 particles with 2000 different componen
ts of a discretized Schulz distribution at polydispersities from 0% to
30% are simulated on a massively parallel computer. Recent advances i
n the integral equation theory for polydisperse suspensions are tested
and verified with respect to both structure and equilibrium mechanica
l properties. The low shear rate theology for both monodisperse and po
lydisperse suspensions is found to be well represented by the Ree-Eyri
ng model. At higher shear rates an ordered ''string'' phase is shear i
nduced for low polydispersities (< 10%). Increasing the polydispersity
further (> 20%) inhibits the ordering, suggesting the existence of a
critical polydispersity beyond which a colloidal suspension cannot be
induced into an ordered state by shearing; The validity of a generaliz
ed, nonequilibrium Stokes-Einstein relationship for polydisperse collo
ids is also investigated. (C) 1996 American Institute of Physics.