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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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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container_title Macromolecules
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Quinlan, Carol Ann
description 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.
doi_str_mv 10.1021/ma00105a021
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source ACS CRKN Legacy Archives
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
title Analytic structure of the solutionlike-meltlike transition in polymer dynamics
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