Conformations of a Long Polymer in a Melt of Shorter Chains: Generalizations of the Flory Theorem.
Identifieur interne : 001398 ( PubMed/Curation ); précédent : 001397; suivant : 001399Conformations 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 N-mer in a melt of chemically identical P-mers are used to investigate a discrepancy between theory and experiments. Classical theory predicts an increase of probe chain size R ∼ P-0.18 with decreasing degree of polymerization P of melt chains in the range of 1 < P < N1/2. However, both experiment and simulation data are more consistent with an apparently slower swelling R ∼ P-0.1 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.
DOI: 10.1021/mz500777r
PubMed: 26543675
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Classical theory predicts an increase of probe chain size <i>R</i> ∼ <i>P</i><sup>-0.18</sup> with decreasing degree of polymerization <i>P</i> of melt chains in the range of 1 < <i>P</i> < <i>N</i><sup>1/2</sup>. However, both experiment and simulation data are more consistent with an apparently slower swelling <i>R</i> ∼ <i>P</i><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.</div></front></TEI><pubmed><MedlineCitation Status="PubMed-not-MEDLINE" Owner="NLM"><PMID Version="1">26543675</PMID><DateRevised><Year>2019</Year><Month>12</Month><Day>20</Day></DateRevised><Article PubModel="Print-Electronic"><Journal><ISSN IssnType="Print">2161-1653</ISSN><JournalIssue CitedMedium="Print"><Volume>4</Volume><Issue>2</Issue><PubDate><Year>2015</Year><Month>Feb</Month><Day>17</Day></PubDate></JournalIssue><Title>ACS macro letters</Title><ISOAbbreviation>ACS Macro Lett</ISOAbbreviation></Journal><ArticleTitle>Conformations of a Long Polymer in a Melt of Shorter Chains: Generalizations of the Flory Theorem.</ArticleTitle><Pagination><MedlinePgn>177-181</MedlinePgn></Pagination><Abstract><AbstractText>Large-scale simulations of the swelling of a long <i>N</i>-mer in a melt of chemically identical <i>P</i>-mers are used to investigate a discrepancy between theory and experiments. Classical theory predicts an increase of probe chain size <i>R</i> ∼ <i>P</i><sup>-0.18</sup> with decreasing degree of polymerization <i>P</i> of melt chains in the range of 1 < <i>P</i> < <i>N</i><sup>1/2</sup>. However, both experiment and simulation data are more consistent with an apparently slower swelling <i>R</i> ∼ <i>P</i><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.</AbstractText></Abstract><AuthorList CompleteYN="Y"><Author ValidYN="Y"><LastName>Lang</LastName><ForeName>Michael</ForeName><Initials>M</Initials><AffiliationInfo><Affiliation>Leibniz Institute of Polymer Research Dresden , Hohe Straße 6, 01069 Dresden, Germany.</Affiliation></AffiliationInfo></Author><Author ValidYN="Y"><LastName>Rubinstein</LastName><ForeName>Michael</ForeName><Initials>M</Initials><AffiliationInfo><Affiliation>Department of Chemistry, University of North Carolina , Chapel Hill, North Carolina 27599-3290, United States.</Affiliation></AffiliationInfo></Author><Author ValidYN="Y"><LastName>Sommer</LastName><ForeName>Jens-Uwe</ForeName><Initials>JU</Initials><AffiliationInfo><Affiliation>Leibniz Institute of Polymer Research Dresden , Hohe Straße 6, 01069 Dresden, Germany ; Institute of Theoretical Physics, Technische Universität Dresden , Zellescher Weg 17, 01062 Dresden, Germany.</Affiliation></AffiliationInfo></Author></AuthorList><Language>eng</Language><GrantList CompleteYN="Y"><Grant><GrantID>P01 HL108808</GrantID><Acronym>HL</Acronym><Agency>NHLBI NIH HHS</Agency><Country>United States</Country></Grant></GrantList><PublicationTypeList><PublicationType UI="D016428">Journal Article</PublicationType></PublicationTypeList><ArticleDate DateType="Electronic"><Year>2015</Year><Month>01</Month><Day>14</Day></ArticleDate></Article><MedlineJournalInfo><Country>United States</Country><MedlineTA>ACS Macro Lett</MedlineTA><NlmUniqueID>101574672</NlmUniqueID></MedlineJournalInfo></MedlineCitation><PubmedData><History><PubMedPubDate PubStatus="received"><Year>2014</Year><Month>12</Month><Day>09</Day></PubMedPubDate><PubMedPubDate PubStatus="accepted"><Year>2015</Year><Month>01</Month><Day>05</Day></PubMedPubDate><PubMedPubDate PubStatus="entrez"><Year>2015</Year><Month>11</Month><Day>7</Day><Hour>6</Hour><Minute>0</Minute></PubMedPubDate><PubMedPubDate PubStatus="pubmed"><Year>2015</Year><Month>11</Month><Day>7</Day><Hour>6</Hour><Minute>0</Minute></PubMedPubDate><PubMedPubDate PubStatus="medline"><Year>2015</Year><Month>11</Month><Day>7</Day><Hour>6</Hour><Minute>1</Minute></PubMedPubDate></History><PublicationStatus>ppublish</PublicationStatus><ArticleIdList><ArticleId IdType="pubmed">26543675</ArticleId><ArticleId IdType="doi">10.1021/mz500777r</ArticleId><ArticleId IdType="pmc">PMC4621164</ArticleId></ArticleIdList><pmc-dir>pmcsd</pmc-dir>
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