Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Correspondence between Phase Oscillator Network and Classical XY Model
  with the same random and frustrated interactions   We study correspondence between a phase oscillator network with distributed
natural frequencies and a classical XY model at finite temperatures with the
same random and frustrated interactions used in the Sherrington-Kirkpatrick
model. We perform numerical calculations of the spin glass order parameter $q$
and the distributions of the local fields. As a result, we find that the
parameter dependences of these quantities in both models agree fairly well if
parameters are normalized by using the previously obtained correspondence
relation between two models with the same other types of interactions.
Furthermore, we numerically calculate several quantities such as the time
evolution of the instantaneous local field in the phase oscillator network in
order to study the roles of synchronous and asynchronous oscillators. We also
study the self-consistent equation of the local fields in the oscillator
network and XY model derived by the mean field approximation.

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The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
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The categories of this paper are: stat
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
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The categories of this paper are: nlin
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The categories of this paper are: q-bio