Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ground states of lattice gases with ``almost'' convex repulsive
  interactions   To our best knowledge there is only one example of a lattice system with
long-range two-body interactions whose ground states have been determined
exactly: the one-dimensional lattice gas with purely repulsive and strictly
convex interactions. Its ground-state particle configurations do not depend on
the rate of decay of the interactions and are known as the generalized Wigner
lattices or the most homogenenous particle configurations. The question of
stability of this beautiful and universal result against certain perturbations
of the repulsive and convex interactions seems to be interesting by itself.
Additional motivations for studying such perturbations come from surface
physics (adsorbtion on crystal surfaces) and theories of correlated fermion
systems (recent results on ground-state particle configurations of the
one-dimensional spinless Falicov-Kimball model).
  As a first step we have studied a one-dimensional lattice gas whose two-body
interactions are repulsive and strictly convex only from distance 2 on while
its value at distance 1 is fixed near its value at infinity. We show that such
a modification makes the ground-state particle configurations sensitive to the
decay rate of the interactions: if it is fast enough, then particles form
2-particle lattice-connected aggregates that are distributed in the most
homogeneous way. Consequently, despite breaking of the convexity property, the
ground state exibits the feature known as the complete devil's staircase.

7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
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The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th