Universality of Block Copolymer Melts
Simulations of five different coarse-grained models of symmetric diblock copolymer melts are compared to demonstrate a universal (i.e., model-independent) dependence of the free energy on the invariant degree of polymerization \(\overline{N}\), and to study universal properties of the order-disorder...
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| creator | Glaser, Jens Pavani Medapuram Beardsley, Thomas M Matsen, Mark W Morse, David C |
| description | Simulations of five different coarse-grained models of symmetric diblock copolymer melts are compared to demonstrate a universal (i.e., model-independent) dependence of the free energy on the invariant degree of polymerization \(\overline{N}\), and to study universal properties of the order-disorder transition (ODT). The ODT appears to exhibit two regimes: Systems of very long chains (\(\overline{N} \gtrsim 10^{4}\)) are well described by the Fredrickson-Helfand theory, which assumes weak segregation near the ODT. Systems of smaller but experimentally relevant values, \(\overline{N} \lesssim 10^4\), undergo a transition between strongly segregated disordered and lamellar phases that, though universal, is not adequately described by any existing theory. |
| doi_str_mv | 10.48550/arxiv.1402.1118 |
| format | Article |
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The ODT appears to exhibit two regimes: Systems of very long chains (\(\overline{N} \gtrsim 10^{4}\)) are well described by the Fredrickson-Helfand theory, which assumes weak segregation near the ODT. Systems of smaller but experimentally relevant values, \(\overline{N} \lesssim 10^4\), undergo a transition between strongly segregated disordered and lamellar phases that, though universal, is not adequately described by any existing theory.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.1402.1118</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Block copolymers ; Computer simulation ; Degree of polymerization ; Dependence ; Free energy ; Melts ; Order-disorder transformations ; Physics - Soft Condensed Matter</subject><ispartof>arXiv.org, 2014-02</ispartof><rights>2014. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). 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Systems of smaller but experimentally relevant values, \(\overline{N} \lesssim 10^4\), undergo a transition between strongly segregated disordered and lamellar phases that, though universal, is not adequately described by any existing theory.</description><subject>Block copolymers</subject><subject>Computer simulation</subject><subject>Degree of polymerization</subject><subject>Dependence</subject><subject>Free energy</subject><subject>Melts</subject><subject>Order-disorder transformations</subject><subject>Physics - Soft Condensed Matter</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2014</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GOX</sourceid><recordid>eNotj01Lw0AURQdBsNTuXUlAXKa-9-Yjk6UGrULFTV2HSTIDqWknzqTF_HtT6-ou7uFyD2M3CEuhpYQHE37a4xIF0BIR9QWbEeeYakF0xRYxbgGAVEZS8hm7_9y3Rxui6dphTLxLnjpffyWF73037mxI3m03xGt26UwX7eI_52zz8rwpXtP1x-qteFynRmKWNpJqzSVaLqtMQS5cDUpzdAqzhpyQKjONA0OaazG1piau8gokikpXKPic3Z5n_xTKPrQ7E8bypFKeVCbg7gz0wX8fbBzKrT-E_XSpJNCUA9c647_iOkk2</recordid><startdate>20140205</startdate><enddate>20140205</enddate><creator>Glaser, Jens</creator><creator>Pavani Medapuram</creator><creator>Beardsley, Thomas M</creator><creator>Matsen, Mark W</creator><creator>Morse, David C</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>GOX</scope></search><sort><creationdate>20140205</creationdate><title>Universality of Block Copolymer Melts</title><author>Glaser, Jens ; Pavani Medapuram ; Beardsley, Thomas M ; Matsen, Mark W ; Morse, David C</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a517-d52c8351e35b76094fc06831f617d2f4567adf0a2838494fac2369b0514b8b143</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2014</creationdate><topic>Block copolymers</topic><topic>Computer simulation</topic><topic>Degree of polymerization</topic><topic>Dependence</topic><topic>Free energy</topic><topic>Melts</topic><topic>Order-disorder transformations</topic><topic>Physics - Soft Condensed Matter</topic><toplevel>online_resources</toplevel><creatorcontrib>Glaser, Jens</creatorcontrib><creatorcontrib>Pavani Medapuram</creatorcontrib><creatorcontrib>Beardsley, Thomas M</creatorcontrib><creatorcontrib>Matsen, Mark W</creatorcontrib><creatorcontrib>Morse, David C</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>arXiv.org</collection><jtitle>arXiv.org</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Glaser, Jens</au><au>Pavani Medapuram</au><au>Beardsley, Thomas M</au><au>Matsen, Mark W</au><au>Morse, David C</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Universality of Block Copolymer Melts</atitle><jtitle>arXiv.org</jtitle><date>2014-02-05</date><risdate>2014</risdate><eissn>2331-8422</eissn><abstract>Simulations of five different coarse-grained models of symmetric diblock copolymer melts are compared to demonstrate a universal (i.e., model-independent) dependence of the free energy on the invariant degree of polymerization \(\overline{N}\), and to study universal properties of the order-disorder transition (ODT). 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| subjects | Block copolymers Computer simulation Degree of polymerization Dependence Free energy Melts Order-disorder transformations Physics - Soft Condensed Matter |
| title | Universality of Block Copolymer Melts |
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