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Title: Spatially localized quasicrystalline structures
Authors: Subramanian, Priya
Archer, Andrew J.
Knobloch, Edgar
Rucklidge, Alastair M.
Keywords: Quasicrystals
Spatially localized states
Phase field crystals
Soft matter crystallisation
Issue Date: 2018
Publisher: IOP Publishing Ltd on behalf of the Institute of Physics and Deutsche Physikalische Gesellschaft © The Authors
Citation: SUBRAMANIAN, P. ... et al, 2018. Spatially localized quasicrystalline structures. New Journal of Physics, doi:10.1088/1367-2630/aaf3bd.
Abstract: Soft matter systems have been observed to self-assemble, over a range of system parameters, into quasicrystalline structures. The resulting quasicrystals may minimize the free energy, and be in thermodynamic coexistence with the liquid state. At such state points, the likelihood of finding the presence of spatially localized states with quasicrystalline structure within the liquid is increased. Here we report the first examples of metastable spatially localized quasicrystals of varying sizes in both two and three dimensions. Implications of these results for the nucleation of quasicrystalline structures are discussed. Our conclusions apply to a broad class of soft matter systems and more generally to continuum systems exhibiting quasipatterns.
Description: As the Version of Record of this article is going to be/has been published on a gold open access basis under a CC BY 3.0 licence, this Accepted Manuscript is available for reuse under a CC BY 3.0 licence immediately. Although reasonable endeavours have been taken to obtain all necessary permissions from third parties to include their copyrighted content within this article, their full citation and copyright line may not be present in this Accepted Manuscript version. Before using any content from this article, please refer to the Version of Record on IOPscience once published for full citation and copyright details, as permission may be required. All third party content is fully copyright protected, and is not published on a gold open access basis under a CC BY licence, unless that is specifically stated in the figure caption in the Version of Record.
Sponsor: This work was supported in part by a L’Oreal UK and Ireland Fellowship for Women in Science (PS), by the EPSRC under grants EP/P015689/1 (AJA) and EP/P015611/1 (AMR), by the Leverhulme Trust (RF-2018-449/9, AMR) and by the NSF under grant DMS-1613132 (EK).
Version: Accepted for publication
DOI: 10.1088/1367-2630/aaf3bd
URI: https://dspace.lboro.ac.uk/2134/36271
Publisher Link: https://doi.org/10.1088/1367-2630/aaf3bd
ISSN: 1367-2630
Appears in Collections:Published Articles (Maths)

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