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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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  <dc:creator>Ganikhodjaev, Nasir</dc:creator>
  <dc:creator>Uguz, Selman</dc:creator>
  <dc:date>2011-01-01</dc:date>
  <dc: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.</dc:description>
  <dc:identifier>https://aperta.ulakbim.gov.trrecord/23187</dc:identifier>
  <dc:identifier>oai:zenodo.org:23187</dc:identifier>
  <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
  <dc:rights>http://www.opendefinition.org/licenses/cc-by</dc:rights>
  <dc:source>PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS 390(23-24) 4160-4173</dc:source>
  <dc:title>Competing binary and k-tuple interactions on a Cayley tree of arbitrary order</dc:title>
  <dc:type>info:eu-repo/semantics/article</dc:type>
  <dc:type>publication-article</dc:type>
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