Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimized Monotonic Convex Pair Potentials Stabilize Low-Coordinated
  Crystals   We have previously used inverse statistical-mechanical methods to optimize
isotropic pair interactions with multiple extrema to yield low-coordinated
crystal classical ground states (e.g., honeycomb and diamond structures) in
d-dimensional Euclidean space R^d. Here we demonstrate the counterintuitive
result that no extrema are required to produce such low-coordinated classical
ground states. Specifically, we show that monotonic convex pair potentials can
be optimized to yield classical ground states that are the square and honeycomb
crystals in R^2 over a non-zero number density range. Such interactions may be
feasible to achieve experimentally using colloids and polymers.

19
The categories of this paper are: eess
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
2
The categories of this paper are: math
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin