Powered by OpenAIRE graph
Found an issue? Give us feedback
addClaim

Mean field theory of the hydrodynamics of concentrated polymer solutions

Authors: Karl F. Freed; Horia Metiu;

Mean field theory of the hydrodynamics of concentrated polymer solutions

Abstract

A self-consistent theory of the hydrodynamics of concentrated polymer solutions is derived. The lowest order approximation within this theory is equivalent to the result of a diagrammatic summation of the multiple scattering expansion carried out by Freed and Edwards, and it automatically provides the generalization to the case where chain interactions of a nonhydrodynamic nature are also present within and between the chains. The corrections to the Freed–Edwards theory are analyzed to establish the theory’s range of validity. It is explicitly demonstrated that the theory is valid when interchain correlations do not persist over macroscopic distances for times comparable to or greater than the inverse of the probing frequency. A simple heuristic derivation, which highlights the physical content of the Freed–Edwards theory, is also presented to complete and reinforce the conclusions of the mathematical discussion.

Related Organizations
  • BIP!
    Impact byBIP!
    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    24
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Top 10%
Powered by OpenAIRE graph
Found an issue? Give us feedback
selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
24
Average
Top 10%
Top 10%
Upload OA version
Are you the author of this publication? Upload your Open Access version to Zenodo!
It’s fast and easy, just two clicks!