Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hard-disk equation of state: First-order liquid-hexatic transition in
  two dimensions with three simulation methods   We report large-scale computer simulations of the hard-disk system at high
densities in the region of the melting transition. Our simulations reproduce
the equation of state, previously obtained using the event-chain Monte Carlo
algorithm, with a massively parallel implementation of the local Monte Carlo
method and with event-driven molecular dynamics. We analyze the relative
performance of these simulation methods to sample configuration space and
approach equilibrium. Our results confirm the first-order nature of the melting
phase transition in hard disks. Phase coexistence is visualized for individual
configurations via the orientational order parameter field. The analysis of
positional order confirms the existence of the hexatic phase.

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The categories of this paper are: cmp-lg
2
The categories of this paper are: math
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th