Disordered configurations of the Glauber model in two-dimensional networks

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dc.citation.issue6
dc.citation.rankM21
dc.citation.spage68001
dc.citation.volume120
dc.contributor.authorBačić, Iva
dc.contributor.authorFranović, Igor
dc.contributor.authorPerc, Matjaž
dc.date.accessioned2024-07-03T09:05:21Z
dc.date.available2024-07-03T09:05:21Z
dc.date.issued2017-12
dc.description.abstractWe analyze the ordering efficiency and the structure of disordered configurations for the zero-temperature Glauber model on Watts-Strogatz networks obtained by rewiring 2D regular square lattices. In the small-world regime, the dynamics fails to reach the ordered state in the thermodynamic limit. Due to the interplay of the perturbed regular topology and the energy neutral stochastic state transitions, the stationary state consists of two intertwined domains, manifested as multiclustered states on the original lattice. Moreover, for intermediate rewiring probabilities, one finds an additional source of disorder due to the low connectivity degree, which gives rise to small isolated droplets of spins. We also examine the ordering process in paradigmatic two-layer networks with heterogeneous rewiring probabilities. Comparing the cases of a multiplex network and the corresponding network with random inter-layer connectivity, we demonstrate that the character of the final state qualitatively depends on the type of inter-layer connections.
dc.identifier.doi10.1209/0295-5075/120/68001
dc.identifier.issn0295-5075
dc.identifier.issn1286-4854
dc.identifier.scopus2-s2.0-85043503422
dc.identifier.urihttps://pub.ipb.ac.rs/handle/123456789/174
dc.identifier.wos000426472200001
dc.language.isoen
dc.publisherInstitute of Physics Publishing
dc.relation.ispartofEPL (Europhysics Letters)
dc.relation.ispartofabbrEPL
dc.rightsopenAccess
dc.titleDisordered configurations of the Glauber model in two-dimensional networks
dc.typeArticle
dc.type.versionpublishedVersion
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