Spectral renormalization group for the Gaussian model and 𝜓4 theory on nonspatial networks

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dc.authorid0000-0003-0241-9932
dc.authorid0000-0003-1450-9070
dc.contributor.authorTuncer, Aslıen_US
dc.contributor.authorErzan, Ayşeen_US
dc.date.accessioned2015-11-06T11:49:43Z
dc.date.available2015-11-06T11:49:43Z
dc.date.issued2015-08-06
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Fizik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Physicsen_US
dc.description.abstractWe implement the spectral renormalization group on different deterministic nonspatial networks without translational invariance. We calculate the thermodynamic critical exponents for the Gaussian model on the Cayley tree and the diamond lattice and find that they are functions of the spectral dimension, (d) over tilde. The results are shown to be consistent with those from exact summation and finite-size scaling approaches. At (d) over tilde = 2, the lower critical dimension for the Ising universality class, the Gaussian fixed point is stable with respect to a psi(4) perturbation up to second order. However, on generalized diamond lattices, non-Gaussian fixed points arise for 2 < <(d)over tilde> < 4.en_US
dc.description.sponsorshipWe thank E. Brezin, B. Derrida, J.-P. Eckmann, M. Mungan, H. Ozbek and T. Turgut for a number of interesting discussions. A. Tuncer acknowledges partial support from ITU BAP Grant No. 36259.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationTuncer, A., & Erzan, A. (2015). Spectral renormalization group for the gaussian model and psi(4) theory on nonspatial networks. Physical Review e, 92(2) doi:10.1103/PhysRevE.92.022106en_US
dc.identifier.doi10.1103/PhysRevE.92.022106
dc.identifier.endpage14
dc.identifier.issn1539-3755
dc.identifier.issn1550-2376
dc.identifier.issue2
dc.identifier.pmid26382343
dc.identifier.scopus2-s2.0-84939527211
dc.identifier.scopusqualityN/A
dc.identifier.startpage1
dc.identifier.urihttps://hdl.handle.net/11729/704
dc.identifier.urihttp://dx.doi.org/10.1103/PhysRevE.92.022106
dc.identifier.volume92
dc.identifier.wosWOS:000359054400001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakPubMeden_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.institutionauthorTuncer, Aslıen_US
dc.institutionauthorid0000-0003-0241-9932
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherAmerican Physical Societyen_US
dc.relation.ispartofPhysical Review Een_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectCayley treeen_US
dc.subjectComplex networksen_US
dc.subjectHierarchical latticesen_US
dc.subjectIsing-modelen_US
dc.subjectStatistical-mechanicsen_US
dc.subjectSystemsen_US
dc.subjectThermodynamic limiten_US
dc.subjectLatticesen_US
dc.subjectSystemsen_US
dc.subjectTreesen_US
dc.subjectCrystal latticesen_US
dc.subjectGroup theoryen_US
dc.subjectOrder disorder transitionsen_US
dc.subjectStatistical mechanicsen_US
dc.subjectFinite size scalingen_US
dc.subjectGaussian fixed pointen_US
dc.subjectLower critical dimensionen_US
dc.subjectNon-Gaussian fixed pointsen_US
dc.subjectSpectral dimensionsen_US
dc.subjectSpectral renormalizationen_US
dc.subjectTranslational invarianceen_US
dc.subjectUniversality classen_US
dc.subjectGaussian distributionen_US
dc.titleSpectral renormalization group for the Gaussian model and 𝜓4 theory on nonspatial networksen_US
dc.typeArticleen_US
dspace.entity.typePublication

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