Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Seasonal epidemic spreading on small-world networks: Biennial outbreaks
  and classical discrete time crystals   We study seasonal epidemic spreading in a
susceptible-infected-removed-susceptible (SIRS) model on smallworld graphs. We
derive a mean-field description that accurately captures the salient features
of the model, most notably a phase transition between annual and biennial
outbreaks. A numerical scaling analysis exhibits a diverging autocorrelation
time in the thermodynamic limit, which confirms the presence of a classical
discrete time crystalline phase. We derive the phase diagram of the model both
from mean-field theory and from numerics. Our work offers new perspectives by
demonstrating that small-worldness and non-Markovianity can stabilize a
classical discrete time crystal, and by linking recent efforts to understand
such dynamical phases of matter to the century-old problem of biennial
epidemics.

31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom