Two-dimensional simulations of the Brownian dynamics of polymers in a
grid of topological obstacles were carried out in this study. A first
model made use of the exact expression for the free energy of a chain
with fixed ends interacting with an obstacle and can be used to derive
the elastic force acting on the subchains of a Rouse-like model. With
this model we calculated the diffusion coefficient of chains of diffe
rent lengths constrained by the fixed obstacles. A second model, less
rigorous but more efficient computationally, was used to simulate the
chain dynamics in fast flows. In such a case, the obstacles were conve
cted according to the shear gradient. During the simulation, the confi
gurational changes of the chain constrained by the obstacles could be
monitored and the stresses which developed were calculated. These simu
lations reveal important effects of the conformational fluctuations at
high shear rates. (C) 1998 Elsevier Science B.V. All rights reserved.