Spatially localized quasicrystalline structures
journal contributionposted on 2018-11-29, 14:51 authored by Priya Subramanian, Andrew ArcherAndrew Archer, Edgar Knobloch, Alastair M. Rucklidge
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.
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).
- Mathematical Sciences