Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Thermodynamics of a Potts-like model for a reconstructed zigzag edge in
  graphene nanoribbons   We construct a three-color Potts-like model for the graphene zigzag edge
reconstructed with Stone-Wales carbon rings, in order to study its thermal
equilibrium properties. We consider two cases which have different
ground-states: the edge with non-passivated dangling carbon bonds and the edge
fully passivated with hydrogen. We study the concentration of defects
perturbing the ground-state configuration as a function of the temperature. The
defect concentration is found to be exponentially dependent on the effective
parameters that describe the model at all temperatures. Moreover, we
analytically compute the domain size distribution of the defective domains and
conclude that it does not have fat-tails. In an appendix, we show how the
exchange parameters of the model can be estimated using density functional
theory results. Such equilibrium mechanisms place a lower bound on the
concentration of defects in zigzag edges, since the formation of such defects
is due to non-equilibrium kinetic mechanisms.

11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
2
The categories of this paper are: math
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th