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dc.contributor.authorWang, Rui
dc.contributor.authorAlexander-Katz, Alfredo
dc.contributor.authorJohnson, Jeremiah A.
dc.contributor.authorOlsen, Bradley D.
dc.date.accessioned2016-05-09T16:29:21Z
dc.date.available2016-05-09T16:29:21Z
dc.date.issued2016-05
dc.date.submitted2016-02
dc.identifier.issn0031-9007
dc.identifier.issn1079-7114
dc.identifier.urihttp://hdl.handle.net/1721.1/102437
dc.description.abstractPolymer networks invariably possess topological defects: loops of different orders which have profound effects on network properties. Here, we demonstrate that all cyclic topologies are a universal function of a single dimensionless parameter characterizing the conditions for network formation. The theory is in excellent agreement with both experimental measurements of hydrogel loop fractions and Monte Carlo simulations without any fitting parameters. We demonstrate the superposition of the dilution effect and chain-length effect on loop formation. The one-to-one correspondence between the network topology and primary loop fraction demonstrates that the entire network topology is characterized by measurement of just primary loops, a single chain topological feature. Different cyclic defects cannot vary independently, in contrast to the intuition that the densities of all topological species are freely adjustable. Quantifying these defects facilitates studying the correlations between the topology and properties of polymer networks, providing a key step in overcoming an outstanding challenge in polymer physics.en_US
dc.description.sponsorshipNational Science Foundation (U.S.) (Award DMR-1253306)en_US
dc.publisherAmerican Physical Societyen_US
dc.relation.isversionofhttp://dx.doi.org/10.1103/PhysRevLett.116.188302en_US
dc.rightsArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.en_US
dc.sourceAmerican Physical Societyen_US
dc.titleUniversal Cyclic Topology in Polymer Networksen_US
dc.typeArticleen_US
dc.identifier.citationWang, Rui, Alfredo Alexander-Katz, Jeremiah A. Johnson, and Bradley D. Olsen. "Universal Cyclic Topology in Polymer Networks." Phys. Rev. Lett. 116, 188302 (May 2016). © 2016 American Physical Societyen_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Chemical Engineeringen_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Chemistryen_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Materials Science and Engineeringen_US
dc.contributor.mitauthorWang, Ruien_US
dc.contributor.mitauthorAlexander-Katz, Alfredoen_US
dc.contributor.mitauthorJohnson, Jeremiah A.en_US
dc.contributor.mitauthorOlsen, Bradley D.en_US
dc.relation.journalPhysical Review Lettersen_US
dc.eprint.versionFinal published versionen_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dc.date.updated2016-05-05T22:00:09Z
dc.language.rfc3066en
dc.rights.holderAmerican Physical Society
dspace.orderedauthorsWang, Rui; Alexander-Katz, Alfredo; Johnson, Jeremiah A.; Olsen, Bradley D.en_US
dc.identifier.orcidhttps://orcid.org/0000-0002-9563-2048
dc.identifier.orcidhttps://orcid.org/0000-0002-7272-7140
dc.identifier.orcidhttps://orcid.org/0000-0001-5554-1283
dc.identifier.orcidhttps://orcid.org/0000-0001-9157-6491
mit.licensePUBLISHER_POLICYen_US


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