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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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{
  "DOI": "10.1016/j.physa.2011.06.044", 
  "abstract": "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.", 
  "author": [
    {
      "family": "Ganikhodjaev", 
      "given": " Nasir"
    }, 
    {
      "family": "Uguz", 
      "given": " Selman"
    }
  ], 
  "container_title": "PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS", 
  "id": "23187", 
  "issue": "23-24", 
  "issued": {
    "date-parts": [
      [
        2011, 
        1, 
        1
      ]
    ]
  }, 
  "page": "4160-4173", 
  "title": "Competing binary and k-tuple interactions on a Cayley tree of arbitrary order", 
  "type": "article-journal", 
  "volume": "390"
}
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