Journal of Chemical Physics, Vol.110, No.12, 5989-5992, 1999
Polymer solution viscoelasticity from two-parameter temporal scaling
A novel approach for computing aspects of the loss modulus G " (omega) of a polymer solution is proposed. The path predicts the functional dependence of G " on omega over a wide range of omega, independent of assumptions as to the nature of the dominant forces acting between polymer chains in solution. Comparison with representative results from the published literature finds excellent agreement with the predicted functional form for G " (omega). The approach is based on extension of the renormalization-group derivation [G. Phillies, Macromolecules 31, 2317 (1998)] of the hydrodynamic scaling model of polymer solution dynamics [G. Phillies, J. Phys. Chem. 93, 5029 (1989)] to the zero-shear viscosity, considering the fixed-point structure of eta( c) as inferred from experiment, and analytic extrapolation of the fixed-point structure to a two-variable eta(c , omega).