The Mesoscopic Theory of Polymer Dynamics

This monograph contains the fundamentals of the theory and gives a compact and consistent picture of the different relaxation phenomena in very concentrated solutions and melts of linear polymers (diffusion, neutron scattering, viscoelasticity, and optical birefringence) from a macromolecular point of view and without any specific hypotheses. It can be considered as a complementary reading to the textbook by Doi and Edwards. The original approach taken to the problem allows us to understand why numerous attempts to find the 3.4-index law for the viscosity co-efficient of linear polymers in the frame of the reptation-tube model were doomed to fail, and have failed during the last 20 years. It also helps us to derive the proper constitutive relation for polymers of different architecture. The monograph can be used as a textbook for graduate students with some background in physics and mathematics. It could also provide material for a one- or two-semester graduate-level course in polymer dynamics.