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Competing binary and k-tuple interactions on a Cayley tree of arbitrary order

Ganikhodjaev, Nasir; Uguz, Selman


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  "@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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