Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: N-vicinities method for 3D Ising Model   The n-vicinities method for approximate calculations of the partition
function of a spin system was proposed previously. The equation of state was
obtained in the most general form. In the present publication these results are
adapted to the Ising model on the D-dimensional cubic lattice. The state
equation is solved for an arbitrary dimension D and the behavior of the free
energy is analyzed. For large values of D (D > 2) the obtained results are in
good agreement with the ones obtained by means of computer simulations. For
small values of D (D < 3), there are noticeable discrepancies with the exact
results.

36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas