1 Ocak 2011 Dergi makalesi Açık Erişim

Ganikhodjaev, Nasir; Uguz, Selman

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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/23187</identifier>
  <creators>
    <creator>
      <creatorName>Ganikhodjaev, Nasir</creatorName>
      <givenName>Nasir</givenName>
      <familyName>Ganikhodjaev</familyName>
    </creator>
    <creator>
      <creatorName>Uguz, Selman</creatorName>
      <givenName>Selman</givenName>
      <familyName>Uguz</familyName>
      <affiliation>Harran Univ, Dept Math, Arts &amp; Sci Fac, TR-63120 Sanliurfa, Turkey</affiliation>
    </creator>
  </creators>
  <titles>
    <title>Competing Binary And K-Tuple Interactions On A Cayley Tree Of Arbitrary Order</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2011</publicationYear>
  <dates>
    <date dateType="Issued">2011-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/23187</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.1016/j.physa.2011.06.044</relatedIdentifier>
  </relatedIdentifiers>
  <rightsList>
    <rights rightsURI="http://www.opendefinition.org/licenses/cc-by">Creative Commons Attribution</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
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  <descriptions>
    <description descriptionType="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.</description>
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