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dc.contributor.authorStoop, Norbert
dc.contributor.authorDunkel, Joern
dc.date.accessioned2018-09-19T13:47:34Z
dc.date.available2018-09-19T13:47:34Z
dc.date.issued2018-02
dc.date.submitted2017-11
dc.identifier.issn1744-683X
dc.identifier.issn1744-6848
dc.identifier.urihttp://hdl.handle.net/1721.1/118147
dc.description.abstractTopological defects shape the material and transport properties of physical systems. Examples range from vortex lines in quantum superfluids, defect-mediated buckling of graphene, and grain boundaries in ferromagnets and colloidal crystals, to domain structures formed in the early universe. The Kibble-Zurek (KZ) mechanism describes the topological defect formation in continuous non-equilibrium phase transitions with a constant finite quench rate. Universal KZ scaling laws have been verified experimentally and numerically for second-order transitions in planar Euclidean geometries, but their validity for non-thermal transitions in curved and topologically nontrivial systems still poses open questions. Here, we use recent experimentally confirmed theory to investigate topological defect formation in curved elastic surface crystals formed by stress-quenching a bilayer material. For both spherical and toroidal crystals, we find that the defect densities follow KZ-type power laws. Moreover, the nucleation sequences agree with recent experimental observations for spherical colloidal crystals. Our results suggest that curved elastic bilayers provide an experimentally accessible macroscopic system to study universal properties of non-thermal phase transitions in non-planar geometries.en_US
dc.publisherRoyal Society of Chemistry (RSC)en_US
dc.relation.isversionofhttp://dx.doi.org/10.1039/C7SM02233Fen_US
dc.rightsCreative Commons Attribution 4.0 International Licenseen_US
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en_US
dc.sourceRoyal Society of Chemistryen_US
dc.titleDefect formation dynamics in curved elastic surface crystalsen_US
dc.typeArticleen_US
dc.identifier.citationStoop, Norbert, and Jörn Dunkel. “Defect Formation Dynamics in Curved Elastic Surface Crystals.” Soft Matter 14, 12 (2018): 2329–2338 © 2018 Royal Society of Chemistryen_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mathematicsen_US
dc.contributor.mitauthorStoop, Norbert
dc.contributor.mitauthorDunkel, Joern
dc.relation.journalSoft Matteren_US
dc.eprint.versionFinal published versionen_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dc.date.updated2018-09-19T12:46:30Z
dspace.orderedauthorsStoop, Norbert; Dunkel, Jörnen_US
dspace.embargo.termsNen_US
dc.identifier.orcidhttps://orcid.org/0000-0002-9093-0193
dc.identifier.orcidhttps://orcid.org/0000-0001-8865-2369
mit.licensePUBLISHER_CCen_US


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