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dc.contributor.authorHutzler, Stefan
dc.contributor.authorWeaire, Denis
dc.date.accessioned2022-02-18T12:58:44Z
dc.date.available2022-02-18T12:58:44Z
dc.date.issued2022
dc.date.submitted2022en
dc.identifier.citationD. Weaire, A. Mughal, J. Ryan-Purcell and S. Hutzler, Description of the buckling of a chain of hard spheres in terms of Jacobi functions, Physica D, 2022, 433, 133177en
dc.identifier.otherY
dc.identifier.urihttp://hdl.handle.net/2262/98138
dc.descriptionPUBLISHEDen
dc.description.abstractA linear chain of hard spheres, confined by a transverse harmonic potential, buckles under compression between two hard walls. Jacobi functions provide exact analytic solutions of a differential equation (related to the Duffing equation) for the displacement profile of this chain, within a continuum approximation. Here we explore these solutions, describing their forms and the way in which they vary as system parameters are changed. This is illustrated by reference to two-dimensional diagrams in which each such solution is represented by a point and contour plots illustrate various characteristics of the solutions (period, compression, localization, etc.). Our findings enrich the study of the buckling instability for a linear chain of particles. The approach presented here has the advantage of being based on a simple chain of hard spheres and is straightforward in its interpretation. As such these results may provide insight into more complex experiments, such as those involving the buckling of ion chains.en
dc.format.extent133177en
dc.language.isoenen
dc.relation.ispartofseriesPhysica D;
dc.relation.ispartofseries433;
dc.rightsYen
dc.subjectBucklingen
dc.subjectHard sphere chainen
dc.subjectDuffing equationen
dc.subjectJacobi functionsen
dc.titleDescription of the buckling of a chain of hard spheres in terms of Jacobi functionsen
dc.typeJournal Articleen
dc.contributor.sponsorScience Foundation Ireland (SFI)en
dc.type.supercollectionscholarly_publicationsen
dc.type.supercollectionrefereed_publicationsen
dc.identifier.peoplefinderurlhttp://people.tcd.ie/shutzler
dc.identifier.peoplefinderurlhttp://people.tcd.ie/dweaire
dc.identifier.rssinternalid238415
dc.identifier.doidoi.org/10.1016/j.physd.2022.133177
dc.rights.ecaccessrightsopenAccess
dc.contributor.sponsorGrantNumber13/IA/1926en
dc.subject.TCDThemeNanoscience & Materialsen
dc.subject.TCDTagBUCKLINGen
dc.subject.TCDTagNON-LINEAR SYSTEMSen
dc.subject.TCDTaggranular packing of hard spheresen
dc.identifier.rssurihttps://www.sciencedirect.com/science/article/pii/S016727892200015X
dc.identifier.orcid_id0000-0003-0743-1252
dc.status.accessibleNen


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