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Realizations of isostatic material frameworks
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dc.contributor.author | Sadjadi, Mahdi | |
dc.contributor.author | Hagh, Varda F. | |
dc.contributor.author | Kang, Mingyu | |
dc.contributor.author | Sitharam, Meera | |
dc.contributor.author | Connelly, Robert | |
dc.contributor.author | Gortler, Steven J. | |
dc.contributor.author | Theran, Louis | |
dc.contributor.author | Holmes-Cerfon, Miranda | |
dc.contributor.author | Thorpe, Michael F. | |
dc.date.accessioned | 2022-03-25T12:34:44Z | |
dc.date.available | 2022-03-25T12:34:44Z | |
dc.date.issued | 2021-09-24 | |
dc.identifier | 273295199 | |
dc.identifier | 743a582f-9951-4e41-95fb-a7231f57676a | |
dc.identifier | 85102169293 | |
dc.identifier | 000626126500001 | |
dc.identifier.citation | Sadjadi , M , Hagh , V F , Kang , M , Sitharam , M , Connelly , R , Gortler , S J , Theran , L , Holmes-Cerfon , M & Thorpe , M F 2021 , ' Realizations of isostatic material frameworks ' , Physica Status Solidi. B , vol. 258 , no. 9 , 2000555 . https://doi.org/10.1002/pssb.202000555 | en |
dc.identifier.issn | 0370-1972 | |
dc.identifier.other | RIS: urn:21819C661AE8DBA9A95A16163F0AD833 | |
dc.identifier.other | ORCID: /0000-0001-5282-4800/work/90567857 | |
dc.identifier.uri | https://hdl.handle.net/10023/25107 | |
dc.description | The authors would like to thank financial support though NSF grant no. DMS 1564468 (Connelly, Gortler, Holmes‐Cerfon, Sitharam, Thorpe). | en |
dc.description.abstract | This article studies the set of equivalent realizations of isostatic frameworks and algorithms for finding all such realizations. It is shown that an isostatic framework has an even number of equivalent realizations that preserve edge lengths and connectivity. The complete set of equivalent realizations for a toy framework with pinned boundary in two dimensions is enumerated and the impact of boundary length on the emergence of these realizations is studied. To ameliorate the computational complexity of finding a solution to a large multivariate quadratic system corresponding to the constraints, alternative methods—based on constraint reduction and distance-based covering map or Cayley parameterization of the search space—are presented. The application of these methods is studied on atomic clusters, a model of 2D glasses and jamming. | |
dc.format.extent | 17 | |
dc.format.extent | 3031405 | |
dc.language.iso | eng | |
dc.relation.ispartof | Physica Status Solidi. B | en |
dc.subject | Glasses | en |
dc.subject | Isostatic | en |
dc.subject | Jamming | en |
dc.subject | Networks | en |
dc.subject | Tunneling | en |
dc.subject | QA Mathematics | en |
dc.subject | QC Physics | en |
dc.subject | T-DAS | en |
dc.subject | AC | en |
dc.subject.lcc | QA | en |
dc.subject.lcc | QC | en |
dc.title | Realizations of isostatic material frameworks | en |
dc.type | Journal article | en |
dc.contributor.institution | University of St Andrews. Pure Mathematics | en |
dc.contributor.institution | University of St Andrews. Centre for Interdisciplinary Research in Computational Algebra | en |
dc.identifier.doi | 10.1002/pssb.202000555 | |
dc.description.status | Peer reviewed | en |
dc.identifier.url | https://arxiv.org/abs/2102.06295 | en |
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