Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universality in driven Potts models   We study the stochastic dynamics of infinitely many globally interacting
$q$-state units on a ring that is externally driven. While repulsive
interactions always lead to uniform occupations, attractive interactions give
rise to much richer phenomena: We analytically characterize a Hopf bifurcation
which separates a high-temperature regime of uniform occupations from a
low-temperature one where all units coalesce into a single state. For odd $q$
below the critical temperature starts a synchronization regime which ends via a
second phase transition at lower temperatures, while for even $q$ this
intermediate phase disappears. We find that interactions have no effects except
below critical temperature for attractive interactions. A thermodynamic
analysis reveals that the dissipated work is reduced in this regime, whose
temperature range is shown to decrease as $q$ increases. The $q$-dependence of
the power-efficiency trade-off is also analyzed.

30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
2
The categories of this paper are: math
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph