Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Self-Assembly Formed by Spherical Patchy Particles with Long-Range
  Attraction   We report on self-assemblies formed from spherical patchy particles
interacting by a long-range attraction through a patch region in a
two-dimensional system. We performed Monte Carlo simulations to find stable
structures in a system with constant number of particles under constant
temperature and constant pressure
  (NPT system), in which particles interact via the Kern--Frenkel potential. We
also performed Brownian dynamics simulations employing an interaction potential
similar to the Kern--Frenkel potential to study the formation of those
structures. For long-range attractive potentials, we describe how these stable
structures and their formation depend on the coverage of the patch. Under high
pressure, when the coverage is small, triangular lattices are formed as
reported in previous papers. From our simulations, we find when the pressure is
low short chain-like structures, in which the distance between particles is
long, and square clusters, which are not formed with a short-range attractive
potential, are formed. When the coverage of the patch region is large, square
clusters are formed since the interaction between particles is stronger than
that for with small coverage When the coverage ratio is larger than 0.5, the
direction of the patch is perpendicular to the plane in which the particles are
placed.

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The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-th
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The categories of this paper are: stat
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The categories of this paper are: dg-ga
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The categories of this paper are: math
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The categories of this paper are: hep-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: math-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
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The categories of this paper are: q-bio