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

Ganikhodjaev, Nasir and Uguz, Selman (2011) Competing binary and k-tuple interactions on a Cayley tree of arbitrary order. Physica A: Statistical Mechanics and its Applications, 390 (23-24). pp. 4160-4173. ISSN 0378-4371

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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.

Item Type:	Article (Journal)
Additional Information:	4430/1562
Uncontrolled Keywords:	Ising model; Lyapunov exponent; Phase diagram; k-tuple neighbors; Modulated phase
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User:	Prof. Nasir Ganikhodjaev
Date Deposited:	18 Nov 2011 12:09
Last Modified:	21 Jun 2013 10:55
URI:	http://irep.iium.edu.my/id/eprint/1562

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