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Ganikhodjaev, Nasir; Uguz, Selman
{ "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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