Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unusual changeover in the transition nature of local-interaction Potts
  models   A combinatorial approach is used to study the critical behavior of a
$q$-state Potts model with a round-the-face interaction. Using this approach it
is shown that the model exhibits a first order transition for $q>3$. A second
order transition is numerically detected for $q=2$. Based on these findings, it
is deduced that for some two-dimensional ferromagnetic Potts models with
completely local interaction, there is a changeover in the transition order at
a critical integer $q_c\leq 3$. This stands in contrast to the standard
two-spin interaction Potts model where the maximal integer value for which the
transition is continuous is $q_c=4$. A lower bound on the first order critical
temperature is additionally derived.

22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
2
The categories of this paper are: math
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas