Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finite-size scaling of free energy in the dimer model on a hexagonal
  domain   We consider dimer model on a hexagonal lattice. This model can be seen as a
"pile of cubes in the box". The energy of configuration is given by the volume
of the pile and the partition function is computed by the classical MacMahon
formula or, more formally, by the determinant of Kasteleyn matrix. We use the
expression for the partition function to derive the scaling behavior of free
energy in the limit of lattice mesh tending to zero and temperature tending to
infinity. We consider the cases of finite hexagonal domain, of infinite height
box and coordinate-dependent Boltzmann weights. We obtain asymptotic expansion
of free energy and discuss the universality and physical meaning of the
expansion coefficients.

5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
18
The categories of this paper are: econ