Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Partial order and finite-temperature phase transitions in Potts models
  on irregular lattices   We evaluate the thermodynamic properties of the 4-state antiferromagnetic
Potts model on the Union- Jack lattice using tensor-based numerical methods. We
present strong evidence for a previously unknown, "entropy-driven,"
finite-temperature phase transition to a partially ordered state. From the
thermodynamics of Potts models on the diced and centered diced lattices, we
propose that finite-temperature transitions and partially ordered states are
ubiquitous on irregular lattices.

14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph