| Numéro |
J. Phys. II France
Volume 4, Numéro 8, August 1994
|
|
|---|---|---|
| Page(s) | 1299 - 1310 | |
| DOI | https://doi.org/10.1051/jp2:1994201 | |
J. Phys. II France 4 (1994) 1299-1310
Hydrodynamics of polymer solutions via two-parameter scaling
Ralph H. Colby1, Michael Rubinstein1 and Mohamed Daoud21 Imaging Research and Advanced Development, Eastman Kodak Company, Rochester, New York 14650-2109, U.S.A.
2 Laboratoire Leon Brillouin Laboratoire commun au C.N.R.S.-C.E.A., C.E.N. Saclay, 91991 Gif-sur-Yvette Cedex, France
(Received 10 January 1994, accepted 5 May 1994)
Abstract
We discuss the temperature and concentration regimes for the hydrodynamic properties of linear polymer solutions. New regimes
are reported in addition to the known regimes for the static conformations of the coils. The new regimes appear because of
the existence of a second length scale, the tube diameter, which is not proportional to the screening length. In the theta
regime, the polymer volume fraction where entanglement becomes important is
, where
a1,
b, and
N are the tube diameter in the melt, the Kuhn length, and the number of Kuhn segments in the chain, respectively. Except for
very large
N,
is larger than the overlap concentration
. In the good solvent region,
and
have the same scaling for their dependence on
N, but have different temperature dependences. The results are summarized on a diagram in the temperature-concentration plane.
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