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

Nasir Ganikhodjaev and Selman Uğuz

Physica A: Statistical Mechanics and its Applications, 2011, vol. 390, issue 23, 4160-4173

Abstract: We study the phase diagram for the Ising model on a Cayley tree of arbitrary order k with competing nearest-neighbor interactions J1, prolonged next-nearest-neighbor interactions Jp, and one-level k-tuple neighbor interaction Jo. 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 Jo. The variation of the wavevector 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.

Keywords: Ising model; Lyapunov exponent; Phase diagram; k-tuple neighbors; Modulated phase (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:390:y:2011:i:23:p:4160-4173

DOI: 10.1016/j.physa.2011.06.044

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