Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Study of the Ashkin Teller model with spins $S$ = $1$ and $\sigma$ =
  $3/2$ subjected to different crystal fields using the Monte-Carlo method   Using the Monte-Carlo method, we study the magnetic properties of the
Ashkin-Teller model (ATM) under the effect of the crystal field with spins $S =
1$ and $\sigma = 3/2$. First, we determine the most stable phases in the phase
diagrams at temperature $T = 0$ using exact calculations. For higher
temperatures, we use the Monte-Carlo simulation. We have found rich phase
diagrams with the ordered phases: a Baxter $3/2$ and a Baxter $1/2$ phases in
addition to a $\left\langle \sigma S\right\rangle$ phase that does not show up
either in ATM spin 1 or in ATM spin $3/2$ and, lastly, a $\left\langle
\sigma\right\rangle = 1/2$ phase with first and second order transitions.

25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
2
The categories of this paper are: math
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph