Macromolecules, Vol.28, No.1, 160-164, 1995
Analytic Structure of the Solutionlike-Meltlike Transition in Polymer Dynamics
Solutions of some very-high-molecular-weight polymers exhibit a solutionlike-meltlike theological transition-a crossover from a lower-concentration stretched-exponential regime (eta similar to exp(alpha c(v))) to a high-concentration power-law (eta similar to c(x)) regime at large concentration c. We report a detailed study of this transition for (hydroxypropyl)cellulose:water, with extensive sets of measurements in both concentration regimes and in the transition region. The transition between regimes is extremely sharp. Our experimental data are sufficiently fine-grained as to allow us to confirm the hitherto-untested result that eta is analytic (i.e., the logarithmic derivative partial derivative log(eta)/partial derivative log(c) is continuous) through the transition.
Keywords:HYDRODYNAMIC SCALING MODEL;LATTICE MULTICHAIN SYSTEMS;ZERO-SHEAR VISCOSITY;SELF-DIFFUSION;CONCENTRATED-SOLUTIONS;LINEAR POLYSTYRENES;TRACER-DIFFUSION;MOLECULAR-WEIGHT;MONTE-CARLO;WIDE-RANGE