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Graph spectral characterization of the model on complex networks

Abstract:

There is recent evidence that the XY spin model on complex networks can display three different macroscopic states in response to the topology of the network underpinning the interactions of the spins. In this work we present a way to characterize the macroscopic states of the XY spin model based on the spectral decomposition of time series using topological information about the underlying networks. We use three different classes of networks to generate time series of the spins for the three...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher's version

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Publisher copy:
10.1103/PhysRevE.96.012312

Authors


de Nigris, S More by this author
Takaguchi, T More by this author
More by this author
Department:
Oxford, MPLS, Mathematical Institute
Publisher:
American Physical Society Publisher's website
Journal:
Physical Review E Journal website
Volume:
96
Issue:
1
Pages:
Article: 012312
Publication date:
2017-07-11
DOI:
EISSN:
2470-0053
ISSN:
2470-0045
Pubs id:
pubs:729463
URN:
uri:f7ac515a-2e4c-415c-99e4-6d76f757c11c
UUID:
uuid:f7ac515a-2e4c-415c-99e4-6d76f757c11c
Local pid:
pubs:729463

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