Nc. Andrews et al., POLYELECTROLYTES IN SHEAR AND EXTENSIONAL FLOWS - CONFORMATION AND RHEOLOGY, Journal of polymer science. Part B, Polymer physics, 36(8), 1998, pp. 1401-1417
The conformational and rheological dynamics of dilute solutions of pol
yelectrolyte macromolecules undergoing shear and extensional flow are
modeled using Nonequilibrium Brownian Dynamics (NEBD) and Configuratio
n-Biased Monte Carlo (CBMC) simulations. The mathematical model utiliz
es a bead-spring chain with charged beads that interact through a scre
ened Debye-Huckel potential, and that also interact through stretching
and bending forces. The diffusion (or Fokker-Planck) equation for the
probability density of the positions of the beads of the chain is con
verted to a Stochastic Differential Equation (SDE), from which the sim
ulation algorithm for the NEBD is obtained. The CBMC is used in the in
itial chain generation and in determining steady-state properties in e
longational flows. Various conformational and theological quantities,
such as the stress and birefringence, are monitored, under both steady
-state and transient conditions, with the primary independent variable
being the salt concentration (parametrized through the Debye length)
and the strength of interact:ion q, related to the degree of ionizatio
n of the chain. It is found that this model is able to describe qualit
atively many of the experimentally observed features in such systems.
(C) 1998 John Wiley & Sons, Inc.