Conformations of a Long Polymer in a Melt of Shorter Chains: Generalizations of the Flory Theorem
Identifieur interne : 001857 ( Main/Merge ); précédent : 001856; suivant : 001858Conformations of a Long Polymer in a Melt of Shorter Chains: Generalizations of the Flory Theorem
Auteurs : Michael Lang [Allemagne] ; Michael Rubinstein [États-Unis] ; Jens-Uwe Sommer [Allemagne]Source :
- ACS Macro Letters [ 2161-1653 ] ; 2015.
Abstract
Large-scale simulations of the swelling
of a long
Url:
DOI: 10.1021/mz500777r
PubMed: 26543675
PubMed Central: 4621164
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<sourceDesc><biblStruct><analytic><title xml:lang="en" level="a" type="main">Conformations of a Long Polymer in a Melt of Shorter
Chains: Generalizations of the Flory Theorem</title>
<author><name sortKey="Lang, Michael" sort="Lang, Michael" uniqKey="Lang M" first="Michael" last="Lang">Michael Lang</name>
<affiliation wicri:level="1"><nlm:aff id="aff1"><institution>Leibniz Institute of Polymer Research Dresden</institution>
, Hohe Straße 6, 01069 Dresden,<country>Germany</country>
</nlm:aff>
<country xml:lang="fr">Allemagne</country>
<wicri:regionArea># see nlm:aff country strict</wicri:regionArea>
</affiliation>
</author>
<author><name sortKey="Rubinstein, Michael" sort="Rubinstein, Michael" uniqKey="Rubinstein M" first="Michael" last="Rubinstein">Michael Rubinstein</name>
<affiliation wicri:level="1"><nlm:aff id="aff2">Department of Chemistry,<institution>University of North Carolina</institution>
, Chapel Hill, North Carolina 27599-3290,<country>United States</country>
</nlm:aff>
<country xml:lang="fr">États-Unis</country>
<wicri:regionArea># see nlm:aff country strict</wicri:regionArea>
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<author><name sortKey="Sommer, Jens Uwe" sort="Sommer, Jens Uwe" uniqKey="Sommer J" first="Jens-Uwe" last="Sommer">Jens-Uwe Sommer</name>
<affiliation wicri:level="1"><nlm:aff id="aff1"><institution>Leibniz Institute of Polymer Research Dresden</institution>
, Hohe Straße 6, 01069 Dresden,<country>Germany</country>
</nlm:aff>
<country xml:lang="fr">Allemagne</country>
<wicri:regionArea># see nlm:aff country strict</wicri:regionArea>
</affiliation>
<affiliation wicri:level="1"><nlm:aff id="aff3">Institute of Theoretical Physics,<institution>Technische Universität Dresden</institution>
, Zellescher Weg 17, 01062 Dresden,<country>Germany</country>
</nlm:aff>
<country xml:lang="fr">Allemagne</country>
<wicri:regionArea># see nlm:aff country strict</wicri:regionArea>
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<series><title level="j">ACS Macro Letters</title>
<idno type="eISSN">2161-1653</idno>
<imprint><date when="2015">2015</date>
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<front><div type="abstract" xml:lang="en"><p content-type="toc-graphic"><graphic xlink:href="mz-2014-00777r_0007" id="ab-tgr1"></graphic>
</p>
<p>Large-scale simulations of the swelling
of a long <italic>N</italic>
-mer in a melt of chemically identical <italic>P</italic>
-mers are
used to investigate a discrepancy between theory and experiments.
Classical theory predicts an increase of probe chain size <italic>R</italic>
∼ <italic>P</italic>
<sup>–0.18</sup>
with
decreasing degree of polymerization <italic>P</italic>
of melt chains
in the range of 1 < <italic>P</italic>
< <italic>N</italic>
<sup>1/2</sup>
. However, both experiment and simulation data are more
consistent with an apparently slower swelling <italic>R</italic>
∼ <italic>P</italic>
<sup>–0.1</sup>
over a wider range of melt degrees
of polymerization. This anomaly is explained by taking into account
the recently discovered long-range bond correlations in polymer melts
and corrections to excluded volume. We generalize the Flory theorem
and demonstrate that it is in excellent agreement with experiments
and simulations.</p>
</div>
</front>
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