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Ganikhodjaev, Nasir; Uguz, Selman
{ "@context": "https://schema.org/", "@id": 23187, "@type": "ScholarlyArticle", "creator": [ { "@type": "Person", "name": "Ganikhodjaev, Nasir" }, { "@type": "Person", "affiliation": "Harran Univ, Dept Math, Arts & Sci Fac, TR-63120 Sanliurfa, Turkey", "name": "Uguz, Selman" } ], "datePublished": "2011-01-01", "description": "We study the phase diagram for the Ising model on a Cayley tree of arbitrary order k with competing nearest-neighbor interactions J(1), prolonged next-nearest-neighbor interactions J(p), and one-level k-tuple neighbor interaction J(o). The phase diagram is studied for several ranges of the competing parameters; it shows the appearance of several features and modulated phases arising from the frustration effects introduced by the one-level k-tuple neighbor interaction J(o). The variation of the wayevector with temperature in the modulate phase is studied in detail; it shows narrow commensurate steps between incommensurate regions. Finally, the Lyapunov exponent associated with the trajectory of the system is investigated. (C) 2011 Elsevier B.V. All rights reserved.", "headline": "Competing binary and k-tuple interactions on a Cayley tree of arbitrary order", "identifier": 23187, "image": "https://aperta.ulakbim.gov.tr/static/img/logo/aperta_logo_with_icon.svg", "license": "http://www.opendefinition.org/licenses/cc-by", "name": "Competing binary and k-tuple interactions on a Cayley tree of arbitrary order", "url": "https://aperta.ulakbim.gov.tr/record/23187" }
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