Review: Kirkwood–Riseman Model in Non-Dilute Polymeric Fluids

In two prior articles, I demonstrated from extensive simulational studies by myself and others that the Rouse model of polymer dynamics is invalid in melts dilute solution. However, foundational basis for most modern theories polymeric fluid dynamics, such as reptation/scaling models. One therefore rationally asks whether there a replacement. There is, namely extending Kirkwood–Riseman model. Here, present comprehensive review one set extensions, hydrodynamic scaling This assumes concentrated solution dominated solvent-mediated interactions; chain crossing constraints are taken to create only secondary corrections. Many other models assume, contrariwise, solutions, dominate dynamics. An extended incorporating interchain interactions developed. It yields pseudovirial series concentration molecular weight dependencies self-diffusion coefficient Ds low-shear viscosity η. To extrapolate large concentrations, rationales based on self-similarity Altenberger–Dahler positive-function renormalization group presented. The correctly predict how η depend weight. approach leads two-parameter ansatz predicts functional forms frequency storage loss moduli. A short description given each papers led Experiments supporting aspects noted.