Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 김형준 | - |
dc.date.accessioned | 2020-02-27T16:30:08Z | - |
dc.date.available | 2020-02-27T16:30:08Z | - |
dc.date.issued | 2018 | - |
dc.identifier.issn | 1751-8113 | - |
dc.identifier.issn | 1751-8121 | - |
dc.identifier.other | OAK-23987 | - |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/253471 | - |
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 | English | - |
dc.publisher | IOP PUBLISHING LTD | - |
dc.subject | ropelength | - |
dc.subject | supercoil | - |
dc.subject | superhelix | - |
dc.subject | torus knot | - |
dc.title | Ropelength of superhelices and (2, n)-torus knots | - |
dc.type | Article | - |
dc.relation.issue | 48 | - |
dc.relation.volume | 51 | - |
dc.relation.index | SCIE | - |
dc.relation.index | SCOPUS | - |
dc.relation.journaltitle | JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | - |
dc.identifier.doi | 10.1088/1751-8121/aae969 | - |
dc.identifier.wosid | WOS:000449515000002 | - |
dc.author.google | Huh, Youngsik | - |
dc.author.google | Kim, Hyoungjun | - |
dc.author.google | Oh, Seungsang | - |
dc.contributor.scopusid | 김형준(56281783400) | - |
dc.date.modifydate | 20220428141733 | - |