Spatially localized quasicrystalline structures
Subramanian, P; Archer, AJ; Knobloch, E; Rucklidge, AM
Author Full Names:
Subramanian, P.; Archer, A. J.; Knobloch, E.; Rucklidge, A. M.
NEW JOURNAL OF PHYSICS, 20 10.1088/1367-2630/aaf3bd DEC 14 2018
Soft matter systems have been observed to self-assemble, over a range of
system parameters, into quasicrystalline structures. The resulting
quasicrystals (QCs) 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 QCs 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.