Topologically Driven Swelling of a Polymer Loop
Numerical studies of the average size of trivially knotted polymer loops with no excluded volume were undertaken. Topology was identified by Alexander and Vassiliev degree 2 invariants. Probability of a trivial knot, average gyration radius, and probability density distributions as functions of gyra...
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| Veröffentlicht in: | Proceedings of the National Academy of Sciences - PNAS 2004-09, Vol.101 (37), p.13431-13435 |
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| container_end_page | 13435 |
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| container_issue | 37 |
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| container_title | Proceedings of the National Academy of Sciences - PNAS |
| container_volume | 101 |
| creator | Moore, Nathan T. Lua, Rhonald C. Grosberg, Alexander Y. Novikov, Sergei P. |
| description | Numerical studies of the average size of trivially knotted polymer loops with no excluded volume were undertaken. Topology was identified by Alexander and Vassiliev degree 2 invariants. Probability of a trivial knot, average gyration radius, and probability density distributions as functions of gyration radius were generated for loops of up to N = 3,000 segments. Gyration radii of trivially knotted loops were found to follow a power law similar to that of self-avoiding walks consistent with earlier theoretical predictions. |
| doi_str_mv | 10.1073/pnas.0403383101 |
| format | Article |
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Gyration radii of trivially knotted loops were found to follow a power law similar to that of self-avoiding walks consistent with earlier theoretical predictions.</description><identifier>ISSN: 0027-8424</identifier><identifier>EISSN: 1091-6490</identifier><identifier>DOI: 10.1073/pnas.0403383101</identifier><identifier>PMID: 15340137</identifier><language>eng</language><publisher>United States: National Academy of Sciences</publisher><subject>Entropy ; Gyration ; Knots ; Mathematical triviality ; Physical Sciences ; Physics ; Polymers ; Power laws ; Probability ; Probability distributions ; Swelling ; Topological manifolds ; Topological properties ; Topology</subject><ispartof>Proceedings of the National Academy of Sciences - PNAS, 2004-09, Vol.101 (37), p.13431-13435</ispartof><rights>Copyright 1993/2004 The National Academy of Sciences of the United States of America</rights><rights>Copyright National Academy of Sciences Sep 14, 2004</rights><rights>Copyright © 2004, The National Academy of Sciences 2004</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c489t-b5b53558bf2c781d1b33a81d7679ec7e4eeb23010a8b80d5c151ded195267e9e3</citedby><cites>FETCH-LOGICAL-c489t-b5b53558bf2c781d1b33a81d7679ec7e4eeb23010a8b80d5c151ded195267e9e3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Uhttp://www.pnas.org/content/101/37.cover.gif</thumbnail><linktopdf>$$Uhttps://www.jstor.org/stable/pdf/3373328$$EPDF$$P50$$Gjstor$$H</linktopdf><linktohtml>$$Uhttps://www.jstor.org/stable/3373328$$EHTML$$P50$$Gjstor$$H</linktohtml><link.rule.ids>230,314,723,776,780,799,881,27901,27902,53766,53768,57992,58225</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/15340137$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Moore, Nathan T.</creatorcontrib><creatorcontrib>Lua, Rhonald C.</creatorcontrib><creatorcontrib>Grosberg, Alexander Y.</creatorcontrib><creatorcontrib>Novikov, Sergei P.</creatorcontrib><title>Topologically Driven Swelling of a Polymer Loop</title><title>Proceedings of the National Academy of Sciences - PNAS</title><addtitle>Proc Natl Acad Sci U S A</addtitle><description>Numerical studies of the average size of trivially knotted polymer loops with no excluded volume were undertaken. Topology was identified by Alexander and Vassiliev degree 2 invariants. Probability of a trivial knot, average gyration radius, and probability density distributions as functions of gyration radius were generated for loops of up to N = 3,000 segments. Gyration radii of trivially knotted loops were found to follow a power law similar to that of self-avoiding walks consistent with earlier theoretical predictions.</description><subject>Entropy</subject><subject>Gyration</subject><subject>Knots</subject><subject>Mathematical triviality</subject><subject>Physical Sciences</subject><subject>Physics</subject><subject>Polymers</subject><subject>Power laws</subject><subject>Probability</subject><subject>Probability distributions</subject><subject>Swelling</subject><subject>Topological manifolds</subject><subject>Topological properties</subject><subject>Topology</subject><issn>0027-8424</issn><issn>1091-6490</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2004</creationdate><recordtype>article</recordtype><recordid>eNqFkEFP4zAQhS0Egi7LmcsKRXvjEDqTsWvnwGEFLItUaZFgz5aTON1UbhyctNB_j6tWdDntaQ7zvTdvHmPnCFcIksZda_or4ECkCAEP2Aghx3TCczhkI4BMpopn_IR96fs5AORCwTE7QUEckOSIjZ99552fNaVxbp3chmZl2-Tp1TrXtLPE14lJHr1bL2xIpt53X9lRbVxvz3bzlP35efd88yud_r5_uPkxTUuu8iEtRCFICFXUWSkVVlgQmTjlROa2lJZbW2QECEYVCipRosDKVpiLbCJtbumUXW99u2WxsFVp2yEYp7vQLExYa28a_XnTNn_1zK-0QCUlj_rvO33wL0vbD3rul6GNkXUWP6eYYwONt1AZfN8HW3_4I-hNv3rTr973GxUX_8ba87tCI3C5AzbKvR1qkhqJE-p66dxg34bIJv9hI_Jti8z7wYcPhuIlyhS9A9TKl_0</recordid><startdate>20040914</startdate><enddate>20040914</enddate><creator>Moore, Nathan T.</creator><creator>Lua, Rhonald C.</creator><creator>Grosberg, Alexander Y.</creator><creator>Novikov, Sergei P.</creator><general>National Academy of Sciences</general><general>National Acad Sciences</general><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7QG</scope><scope>7QL</scope><scope>7QP</scope><scope>7QR</scope><scope>7SN</scope><scope>7SS</scope><scope>7T5</scope><scope>7TK</scope><scope>7TM</scope><scope>7TO</scope><scope>7U9</scope><scope>8FD</scope><scope>C1K</scope><scope>FR3</scope><scope>H94</scope><scope>M7N</scope><scope>P64</scope><scope>RC3</scope><scope>5PM</scope></search><sort><creationdate>20040914</creationdate><title>Topologically Driven Swelling of a Polymer Loop</title><author>Moore, Nathan T. ; 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| identifier | ISSN: 0027-8424 |
| ispartof | Proceedings of the National Academy of Sciences - PNAS, 2004-09, Vol.101 (37), p.13431-13435 |
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| language | eng |
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| source | Jstor Complete Legacy; PMC (PubMed Central); Alma/SFX Local Collection; Free Full-Text Journals in Chemistry |
| subjects | Entropy Gyration Knots Mathematical triviality Physical Sciences Physics Polymers Power laws Probability Probability distributions Swelling Topological manifolds Topological properties Topology |
| title | Topologically Driven Swelling of a Polymer Loop |
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