Ropelength of superhelices and (2, n)-torus knots
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Huh, Youngsik | - |
dc.contributor.author | Kim, Hyoungjun | - |
dc.contributor.author | Oh, Seungsang | - |
dc.date.accessioned | 2022-07-11T05:14:34Z | - |
dc.date.available | 2022-07-11T05:14:34Z | - |
dc.date.created | 2021-05-12 | - |
dc.date.issued | 2018-11 | - |
dc.identifier.issn | 1751-8113 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/149108 | - |
dc.description.abstract | In this paper we investigate a ropelength-minimizing conformation of 4-strand superhelical strings whose axial curves constitute the standard double helix. In IIuh et al (2016 J. Phys. A: Math. Theor. 49 415205) the authors found a specific conformation of standard double helix which was mathematically shown to be the unique ropelength-minimizing conformation. Adopting the conformation as axial curves we present a parametrization of superhelical curves so that the resulting shape is controlled by the twist number N and the helical radius r(2). For each N, the value of r(2) minimizing the ropelength is numerically estimated. A notable observation is that the ropelength per crossing of our 4-strand superhelical strings is minimized around 2.96 < N < 2.97 which suggests a moment of transition from tightly-packed status to unpacked status. As an application of our estimation, we derive an upper bound on the ropelength of (2, 6k + 1)-torus knots, which is 45.8237k + 28.4223. Finally the efficiency of our superhelix model for (2, n)-torus knots is discussed in comparison with the circular helix model. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | IOP PUBLISHING LTD | - |
dc.title | Ropelength of superhelices and (2, n)-torus knots | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Huh, Youngsik | - |
dc.identifier.doi | 10.1088/1751-8121/aae969 | - |
dc.identifier.scopusid | 2-s2.0-85056475867 | - |
dc.identifier.wosid | 000449515000002 | - |
dc.identifier.bibliographicCitation | JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, v.51, no.48, pp.1 - 13 | - |
dc.relation.isPartOf | JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | - |
dc.citation.title | JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | - |
dc.citation.volume | 51 | - |
dc.citation.number | 48 | - |
dc.citation.startPage | 1 | - |
dc.citation.endPage | 13 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | N | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Physics | - |
dc.relation.journalWebOfScienceCategory | Physics | - |
dc.relation.journalWebOfScienceCategory | Multidisciplinary | - |
dc.relation.journalWebOfScienceCategory | Physics | - |
dc.relation.journalWebOfScienceCategory | Mathematical | - |
dc.subject.keywordPlus | LINKS | - |
dc.subject.keywordAuthor | ropelength | - |
dc.subject.keywordAuthor | supercoil | - |
dc.subject.keywordAuthor | superhelix | - |
dc.subject.keywordAuthor | torus knot | - |
dc.identifier.url | https://iopscience.iop.org/article/10.1088/1751-8121/aae969 | - |
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