Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Self-assembly of dodecagonal and octagonal quasicrystals in hard spheres
  on a plane   Quasicrystals are fascinating structures, characterized by strong positional
order but lacking the periodicity of a crystal. In colloidal systems,
quasicrystals are typically predicted for particles with complex or highly
specific interactions, which makes experimental realization difficult. Here, we
propose an ideal colloidal model system for quasicrystal formation: binary
mixtures of hard spheres sedimented onto a flat substrate. Using computer
simulations, we explore both the close-packing and spontaneous self-assembly of
these systems over a wide range of size ratios and compositions. Surprisingly,
we find that this simple, effectively two-dimensional model systems forms not
only a variety of crystal phases, but also two quasicrystal phases: one
dodecagonal and one octagonal. Intriguingly, the octagonal quasicrystal
consists of three different tiles, whose relative concentrations can be
continuously tuned via the composition of the binary mixture. Both phases form
reliably and rapidly over a significant part of parameter space, making hard
spheres on a plane an ideal model system for exploring quasicrystal
self-assembly on the colloidal scale.

22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
2
The categories of this paper are: math
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas