Twist and Stretch of Helices Explained via the Kirchhoff-Love Rod Model of Elastic Filaments

Handle URI:
http://hdl.handle.net/10754/599849
Title:
Twist and Stretch of Helices Explained via the Kirchhoff-Love Rod Model of Elastic Filaments
Authors:
Đuričković, Bojan; Goriely, Alain; Maddocks, John H.
Abstract:
In various single-molecule experiments, a chiral polymer, such as DNA, is simultaneously pulled and twisted. We address an elementary but fundamental question raised by various authors: does the molecule overwind or unwind under tension? We show that within the context of the classic Kirchhoff-Love rod model of elastic filaments, both behaviors are possible, depending on the precise constitutive relations of the polymer. More generally, our analysis provides an effective linear response theory for helical structures that relates axial force and axial torque to axial translation and rotation. © 2013 American Physical Society.
Citation:
Đuričković B, Goriely A, Maddocks JH (2013) Twist and Stretch of Helices Explained via the Kirchhoff-Love Rod Model of Elastic Filaments. Physical Review Letters 111. Available: http://dx.doi.org/10.1103/PhysRevLett.111.108103.
Publisher:
American Physical Society (APS)
Journal:
Physical Review Letters
KAUST Grant Number:
KUK-C1-013-04
Issue Date:
5-Sep-2013
DOI:
10.1103/PhysRevLett.111.108103
PubMed ID:
25166713
Type:
Article
ISSN:
0031-9007; 1079-7114
Sponsors:
This publication is based in part upon work supported by Grant No. KUK-C1-013-04, made by (KAUST), and by the U.S. NSF under Grant No. DMS-0907773 (B. D.). A. G. acknowledges support from a Reintegration Grant under EC Framework VII. The work of J. H. M. was supported by the Swiss National Science Foundation under Grants No. 200021-126666/1&2 and No. 200020-143613.
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorĐuričković, Bojanen
dc.contributor.authorGoriely, Alainen
dc.contributor.authorMaddocks, John H.en
dc.date.accessioned2016-02-28T06:42:50Zen
dc.date.available2016-02-28T06:42:50Zen
dc.date.issued2013-09-05en
dc.identifier.citationĐuričković B, Goriely A, Maddocks JH (2013) Twist and Stretch of Helices Explained via the Kirchhoff-Love Rod Model of Elastic Filaments. Physical Review Letters 111. Available: http://dx.doi.org/10.1103/PhysRevLett.111.108103.en
dc.identifier.issn0031-9007en
dc.identifier.issn1079-7114en
dc.identifier.pmid25166713en
dc.identifier.doi10.1103/PhysRevLett.111.108103en
dc.identifier.urihttp://hdl.handle.net/10754/599849en
dc.description.abstractIn various single-molecule experiments, a chiral polymer, such as DNA, is simultaneously pulled and twisted. We address an elementary but fundamental question raised by various authors: does the molecule overwind or unwind under tension? We show that within the context of the classic Kirchhoff-Love rod model of elastic filaments, both behaviors are possible, depending on the precise constitutive relations of the polymer. More generally, our analysis provides an effective linear response theory for helical structures that relates axial force and axial torque to axial translation and rotation. © 2013 American Physical Society.en
dc.description.sponsorshipThis publication is based in part upon work supported by Grant No. KUK-C1-013-04, made by (KAUST), and by the U.S. NSF under Grant No. DMS-0907773 (B. D.). A. G. acknowledges support from a Reintegration Grant under EC Framework VII. The work of J. H. M. was supported by the Swiss National Science Foundation under Grants No. 200021-126666/1&2 and No. 200020-143613.en
dc.publisherAmerican Physical Society (APS)en
dc.titleTwist and Stretch of Helices Explained via the Kirchhoff-Love Rod Model of Elastic Filamentsen
dc.typeArticleen
dc.identifier.journalPhysical Review Lettersen
dc.contributor.institutionUniversity of Arizona, Tucson, United Statesen
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdomen
dc.contributor.institutionEcole Polytechnique Federale de Lausanne, Lausanne, Switzerlanden
kaust.grant.numberKUK-C1-013-04en

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