{"@context":{"@vocab":"https://cir.nii.ac.jp/schema/1.0/","rdfs":"http://www.w3.org/2000/01/rdf-schema#","dc":"http://purl.org/dc/elements/1.1/","dcterms":"http://purl.org/dc/terms/","foaf":"http://xmlns.com/foaf/0.1/","prism":"http://prismstandard.org/namespaces/basic/2.0/","cinii":"http://ci.nii.ac.jp/ns/1.0/","datacite":"https://schema.datacite.org/meta/kernel-4/","ndl":"http://ndl.go.jp/dcndl/terms/","jpcoar":"https://github.com/JPCOAR/schema/blob/master/2.0/"},"@id":"https://cir.nii.ac.jp/crid/1361699994865731584.json","@type":"Article","productIdentifier":[{"identifier":{"@type":"DOI","@value":"10.1103/physreve.78.036106"}},{"identifier":{"@type":"URI","@value":"http://link.aps.org/article/10.1103/PhysRevE.78.036106"}},{"identifier":{"@type":"URI","@value":"http://harvest.aps.org/v2/journals/articles/10.1103/PhysRevE.78.036106/fulltext"}},{"identifier":{"@type":"PMID","@value":"18851104"}}],"dc:title":[{"@value":"Mean field and cavity analysis for coupled oscillator networks"}],"description":[{"notation":[{"@value":"We study coupled oscillator spin systems on sparse, random graphs. In particular, we examine the recent conjecture of Ichinomiya on the equivalence of a sparsely connected oscillator network with ferromagnetic interactions to a fully connected network with disordered (i.e., randomly quenched) interactions. By restricting our investigation to a Hamiltonian case we can use the techniques of equilibrium statistical mechanics to compare these two models analytically including phase diagrams and the calculation of order parameters in the ordered phase. We complete our investigation by performing some Monte Carlo simulations to compare our theoretical predictions against."}]}],"creator":[{"@id":"https://cir.nii.ac.jp/crid/1381699994865731585","@type":"Researcher","foaf:name":[{"@value":"Jonathan P. L. Hatchett"}]},{"@id":"https://cir.nii.ac.jp/crid/1381699994865731584","@type":"Researcher","foaf:name":[{"@value":"Tatsuya Uezu"}]}],"publication":{"publicationIdentifier":[{"@type":"PISSN","@value":"15393755"},{"@type":"EISSN","@value":"15502376"}],"prism:publicationName":[{"@value":"Physical Review E"}],"dc:publisher":[{"@value":"American Physical Society (APS)"}],"prism:publicationDate":"2008-09-05","prism:volume":"78","prism:number":"3","prism:startingPage":"036106"},"reviewed":"false","dc:rights":["http://link.aps.org/licenses/aps-default-license"],"url":[{"@id":"http://link.aps.org/article/10.1103/PhysRevE.78.036106"},{"@id":"http://harvest.aps.org/v2/journals/articles/10.1103/PhysRevE.78.036106/fulltext"}],"createdAt":"2008-09-07","modifiedAt":"2017-06-18","relatedProduct":[{"@id":"https://cir.nii.ac.jp/crid/1050282813367803008","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@language":"en","@value":"Analysis of XY model with mexican-hat interaction on a circle : Derivation of saddle point equations and study of bifurcation structure"}]},{"@id":"https://cir.nii.ac.jp/crid/1050564288345248768","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@language":"en","@value":"Solvable Model of Phase Oscillator Network on a Circlewith Infinite-Range Mexican-Hat-Type Interaction"},{"@value":"Solvable Model of a Phase Oscillator Network on a Circle with Infinite-Range Mexican-Hat-Type Interaction"}]},{"@id":"https://cir.nii.ac.jp/crid/1050564288847321856","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@language":"en","@value":"Correspondence between phase oscillator network and classical XY model with the same random and frustrated interactions"},{"@value":"Correspondence between phase oscillator network and classical \n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mi>X</mml:mi><mml:mi>Y</mml:mi></mml:mrow></mml:math>\n model with the same random and frustrated interactions"}]},{"@id":"https://cir.nii.ac.jp/crid/1050845763322033920","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@language":"en","@value":"Correspondence between phase oscillator network and classical XY modelwith the same infinite-range interaction in statics"}]},{"@id":"https://cir.nii.ac.jp/crid/1390282679173476480","@type":"Article","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@language":"en","@value":"Dynamical Behavior of Phase Oscillator Networks on the Bethe Lattice"}]}],"dataSourceIdentifier":[{"@type":"CROSSREF","@value":"10.1103/physreve.78.036106"},{"@type":"OPENAIRE","@value":"doi_dedup___::6fcbf5f9a760678ce698d59ce88aa61e"},{"@type":"CROSSREF","@value":"10.1143/jpsj.78.024001_references_DOI_H0SwpTFuFjYakk4w0pCOHOAXi2c"},{"@type":"CROSSREF","@value":"10.1143/jpsj.81.064001_references_DOI_H0SwpTFuFjYakk4w0pCOHOAXi2c"},{"@type":"CROSSREF","@value":"10.1143/jpsj.81.073001_references_DOI_H0SwpTFuFjYakk4w0pCOHOAXi2c"},{"@type":"CROSSREF","@value":"10.1103/physreve.100.022213_references_DOI_H0SwpTFuFjYakk4w0pCOHOAXi2c"},{"@type":"CROSSREF","@value":"10.7566/jpsj.84.033001_references_DOI_H0SwpTFuFjYakk4w0pCOHOAXi2c"}]}