Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Thermodynamic Characterization of Synchronization-Optimized
  Oscillator-Networks   We consider a canonical ensemble of synchronization-optimized networks of
identical oscillators under external noise. By performing a Markov chain Monte
Carlo (MCMC) simulation using the Kirchhoff index, i.e., the sum of the inverse
eigenvalues of the Laplacian matrix (as a graph Hamiltonian of the network), we
construct more than 1,000 different synchronization-optimized networks. We then
show that the transition from star to core-periphery structure depends on the
connectivity of the network, and is characterized by the node degree variance
of the synchronization-optimized ensemble. We find that thermodynamic
properties such as heat capacity show anomalies for sparse networks.

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The categories of this paper are: physics
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex