Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Probing phase transition order of $q$-state Potts models using
  Wang-Landau Algorithm   Phase transitions are ubiquitous phenomena, exemplified by the melting of ice
and spontaneous magnetization of magnetic material. In general, a phase
transition is associated with a symmetry breaking of a system; occurs due to
the competition between coupling interaction and external fields such as
thermal energy. If the phase transition occurs with no latent heat, the system
experiences continuous transition, also known as second order phase transition.
The ferromagnetic $q$-state Potts model with $r$ extra invisible states,
introduced by Tamura, Tanaka, and Kawashima [Prog. Theor. Phys. 124, 381
(2010)], is studied by using the Wang-Landau method. The density of states
difference (DOSD), $\ln g(E +\Delta E) - \ln g(E)$, is used to investigate the
order of the phase transition and examine the critical value of $r$ changing
the second to the first order transition.

26
The categories of this paper are: bayes-an
2
The categories of this paper are: math
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg