Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hysteresis of economic networks in an XY model   Many-body systems can have multiple equilibria. Though the energy of
equilibria might be the same, still systems may resist to switch from an
unfavored equilibrium to a favored one. In this paper we investigate occurrence
of such phenomenon in economic networks. In times of crisis when governments
intend to stimulate economy, a relevant question is on the proper size of
stimulus bill. To address the answer, we emphasize the role of hysteresis in
economic networks. In times of crises, firms and corporations cut their
productions; now since their level of activity is correlated, metastable
features in the network become prominent. This means that economic networks
resist against the recovery actions. To measure the size of resistance in the
network against recovery, we deploy the XY model. Though theoretically the XY
model has no hysteresis, when it comes to the kinetic behavior in the
deterministic regimes, we observe a dynamic hysteresis. We find that to
overcome the hysteresis of the network, a minimum size of stimulation is needed
for success. Our simulations show that as long as the networks are
Watts-Strogatz, such minimum is independent of the characteristics of the
networks.

14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th