Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact description of paramagnetic and ferromagnetic phases of an Ising
  model on a third-order Cayley tree   In this paper we analytically study the recurrence equations of an Ising
model with three competing interactions on a Cayley tree of order three. We
exactly describe paramagnetic and ferromagnetic phases of the Ising model. We
obtain some rigorous results: critical temperatures and curves, number of
phases, partition function. Ganikhodjaev et al. [J. Concrete and Applicable
Mathematics, 9 (1), 26-34 (2011)] have numerically studied the Ising model on a
second-order Cayley tree. We compare the numerical results to exact solutions
of mentioned model.

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The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol
16
The categories of this paper are: stat
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The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
19
The categories of this paper are: eess
3
The categories of this paper are: physics
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The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
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The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph