Application of the genetic algorithm to Blume-Emery-Griffiths model: Test cases

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dc.contributor.authorCanko, O
dc.contributor.authorSahin, M
dc.contributor.authorErdinc, A
dc.date.accessioned2020-03-26T16:56:35Z
dc.date.available2020-03-26T16:56:35Z
dc.date.issued2005
dc.departmentSelçuk Üniversitesien_US
dc.description.abstractThe equilibrium properties of the Blume-Emery-Griffiths (BEG) model Hamiltonian with the arbitrary bilinear (J), biquadratic (K) and crystal field interaction (D) are studied using the genetic algorithm technique. Results are compared with lowest approximation of the cluster variation method (CVM), which is identical to the mean field approximation. We found the genetic algorithm to be very efficient for fast search at the average fraction of the spins, especially in the early stages as the system is far from the equilibrium state. A combination of the genetic algorithm followed by one of the well-tested simulation techniques seems to be an optimal approach. The curvature of the inverse magnetic susceptibility is also presented for the stable state of the BEG model.en_US
dc.identifier.doi10.1142/S0217979205032723en_US
dc.identifier.endpage4237en_US
dc.identifier.issn0217-9792en_US
dc.identifier.issn1793-6578en_US
dc.identifier.issue28en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage4229en_US
dc.identifier.urihttps://dx.doi.org/10.1142/S0217979205032723
dc.identifier.urihttps://hdl.handle.net/20.500.12395/19602
dc.identifier.volume19en_US
dc.identifier.wosWOS:000234092000005en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWORLD SCIENTIFIC PUBL CO PTE LTDen_US
dc.relation.ispartofINTERNATIONAL JOURNAL OF MODERN PHYSICS Ben_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.selcuk20240510_oaigen_US
dc.subjectspin-1 Ising systemen_US
dc.subjectcluster variation methoden_US
dc.subjectgenetic algorithmen_US
dc.subjectmagnetic susceptibilityen_US
dc.titleApplication of the genetic algorithm to Blume-Emery-Griffiths model: Test casesen_US
dc.typeArticleen_US

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