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dc.contributor.authorFaghfoor Maghrebi, Mohammad
dc.contributor.authorKantor, Yacov
dc.contributor.authorKardar, Mehran
dc.date.accessioned2013-02-15T15:02:27Z
dc.date.available2013-02-15T15:02:27Z
dc.date.issued2012-12
dc.date.submitted2012-08
dc.identifier.issn1539-3755
dc.identifier.issn1550-2376
dc.identifier.urihttp://hdl.handle.net/1721.1/77139
dc.description.abstractThe number of configurations of a polymer is reduced in the presence of a barrier or an obstacle. The resulting loss of entropy adds a repulsive component to other forces generated by interaction potentials. When the obstructions are scale invariant shapes (such as cones, wedges, lines, or planes) the only relevant length scales are the polymer size R[subscript 0] and characteristic separations, severely constraining the functional form of entropic forces. Specifically, we consider a polymer (single strand or star) attached to the tip of a cone, at a separation h from a surface (or another cone). At close proximity, such that h≪R[subscript 0], separation is the only remaining relevant scale and the entropic force must take the form F=Ak[subscript B]T/h. The amplitude A is universal and can be related to exponents η governing the anomalous scaling of polymer correlations in the presence of obstacles. We use analytical, numerical, and ε-expansion techniques to compute the exponent η for a polymer attached to the tip of the cone (with or without an additional plate or cone) for ideal and self-avoiding polymers. The entropic force is of the order of 0.1 pN at 0.1 μm for a single polymer and can be increased for a star polymer.en_US
dc.description.sponsorshipNational Science Foundation (U.S.) (Grant PHY05-51164)en_US
dc.description.sponsorshipNational Science Foundation (U.S.) (Grant DMR-12-06323)en_US
dc.language.isoen_US
dc.publisherAmerican Physical Societyen_US
dc.relation.isversionofhttp://dx.doi.org/10.1103/PhysRevE.86.061801en_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.sourceAPSen_US
dc.titlePolymer-mediated entropic forces between scale-free objectsen_US
dc.typeArticleen_US
dc.identifier.citationMaghrebi, Mohammad F., Yacov Kantor, and Mehran Kardar. “Polymer-mediated Entropic Forces Between Scale-free Objects.” Physical Review E 86.6 (2012). ©2012 American Physical Societyen_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Physicsen_US
dc.contributor.mitauthorFaghfoor Maghrebi, Mohammad
dc.contributor.mitauthorKardar, Mehran
dc.relation.journalPhysical Review Een_US
dc.eprint.versionFinal published versionen_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dspace.orderedauthorsMaghrebi, Mohammad F.; Kantor, Yacov; Kardar, Mehranen
dc.identifier.orcidhttps://orcid.org/0000-0002-1112-5912
mit.licensePUBLISHER_POLICYen_US


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