Analytic structure of the solutionlike-meltlike transition in polymer dynamics

Solutions of some very-high-molecular-weight polymers exhibit a solutionlike-meltlike rheological transition - a crossover from a lower-concentration stretched-exponential regime ( eta approx. exp-(ac super(v))) to a high-concentration power-law ( eta approx. c super(x)) regime at large concentratio...

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Bibliographic Details
Published in:Macromolecules 1995-01, Vol.28 (1), p.160-164
Main Authors: Phillies, George D. J, Quinlan, Carol Ann
Format: Article
Language:English
Subjects:
Applied sciences
Cellulose
Cellulose and derivatives
Chemical bonds
Concentration (process)
Dynamics
Exact sciences and technology
Molecular weight
Natural polymers
Newtonian liquids
Phase transitions
Physicochemistry of polymers
Rheology
Solutions
Water
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Summary:Solutions of some very-high-molecular-weight polymers exhibit a solutionlike-meltlike rheological transition - a crossover from a lower-concentration stretched-exponential regime ( eta approx. exp-(ac super(v))) to a high-concentration power-law ( eta approx. c super(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 differential log( eta )/ partial differential log(c) is continuous) through the transition.
ISSN:0024-9297
1520-5835
DOI:10.1021/ma00105a021