The Theory of Polymer DynamicsOver the past twenty years our understanding of polymer solutions has undergone a dramatic evolution. New methods and concepts have extended the frontier of the theory from dilute solutions in which polymers move independently of each other, to concentrated solutions where many polymers entangle with each other. This book provides a comprehensive account of the modern theory for the dynamical properties of polymer solutions. This includes viscoelasticity, diffusion, dynamic light scattering and flow and electric birefringence. Nonlinear viscoelasticity is discussed in detail on the basis of molecular dynamical models. The book fills a gap between classical theory and modern developments and constructs a consistent picture for the dynamics of polymer solutions over the entire concentration range. |
Contents
INTRODUCTION | 1 |
Eigenfunctions of the Smoluchowski equation | 21 |
1 | 30 |
References | 43 |
III The Oseen tensor | 88 |
1 The VerdierStockmayer model | 129 |
IV Polarizability tensor of a Gaussian chain | 135 |
I Transformation to collective coordinates | 180 |
References | 283 |
DILUTE SOLUTIONS OF RIGID RODLIKE | 289 |
I Derivation of the Smoluchowski equation by | 318 |
SEMIDILUTE SOLUTIONS OF RIGID RODLIKE | 324 |
1 Tube dilation by orientational ordering | 345 |
References | 379 |
| 381 | |
AUTHOR INDEX | 386 |
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Common terms and phrases
3KBT approximation average becomes behaviour Brownian motion calculated Chem coefficient concentrated solutions consider constitutive equation contour length fluctuation correlation function deformation dependence diffusion constant dilute solution discussed distribution function dynamic light scattering dynamics effect entanglement equilibrium exp(ik Faraday flexible polymers free energy Gennes given by eqn gives Hence hydrodynamic hydrodynamic interaction integral isotropic Langevin equation linear Macromolecules Macromolecules 17 macroscopic molecular weight N₁ nematic nonlinear obtained orientation Osaki parameter particles Phys polymer solutions polymeric liquids primitive chain properties R₂ region relaxation modulus Reproduced from ref reptation rewritten Rheol rodlike polymers rotational diffusion Rouse model Saß Section semidilute solutions shear flow shear rate shear stress shown in Fig Smoluchowski equation solvent stress tensor structure factor t₁ term test polymer theory time-scale topological constraints velocity gradient viscoelasticity viscosity written