Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Modeling of many-body interactions between elastic spheres through
  symmetry functions   Simple models for spherical particles with a soft shell have been shown to
self-assemble into numerous crystal phases and even quasicrystals. However,
most of these models rely on a simple pairwise interaction, which is usually a
valid approximation only in the limit of small deformations, i.e. low
densities. In this work, we consider a many-body yet simple model for the
evaluation of the elastic energy associated with the deformation of a spherical
shell. The resulting energy evaluation, however, is relatively expensive for
direct use in simulations. We significantly reduce the associated numerical
cost by fitting the potential using a set of symmetry functions. We propose a
method for selecting a suitable set of symmetry functions that capture the most
relevant features of the particle environment in a systematic manner. The
fitted interaction potential is then used in Monte Carlo simulations to draw
the phase diagram of the system in two dimensions. The system is found to form
both a fluid and a hexagonal crystal phase.

24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
2
The categories of this paper are: math
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int