Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Continuous- and discrete-time Glauber dynamics. First- and second-order
  phase transitions in mean-field Potts models   As is known, at the Gibbs-Boltzmann equilibrium, the mean-field $q$-state
Potts model with a ferromagnetic coupling has only a first order phase
transition when $q\geq 3$, while there is no phase transition for an
antiferromagnetic coupling. The same equilibrium is asymptotically reached when
one considers the continuous time evolution according to a Glauber dynamics. In
this paper we show that, when we consider instead the Potts model evolving
according to a discrete-time dynamics, the Gibbs-Boltzmann equilibrium is
reached only when the coupling is ferromagnetic while, when the coupling is
anti-ferromagnetic, a period-2 orbit equilibrium is reached and a stable
second-order phase transition in the Ising mean-field universality class sets
in for each component of the orbit. We discuss the implications of this
scenario in real-world problems.

15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
2
The categories of this paper are: math
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc