Article

An Ising model with three competing interactions on a Cayley tree

Nasir GanikhodjaevCentre for Computational and Theoretical Sciences, Faculty of Science, International Islamic University Malaysia, 53100 Kuala Lumpur, Malaysia and Department of Mechanics and Mathematics, National University of Uzbekistan, Vuzgorodok, 700095, Tashkent, UzbekistanChin Hee PahCentre for Computational and Theoretical Sciences, Faculty of Science, International Islamic University Malaysia, 53100 Kuala Lumpur, MalaysiaMohamed Ridza WahiddinCentre for Computational and Theoretical Sciences, Faculty of Science, International Islamic University Malaysia, 53100 Kuala Lumpur, Malaysia

Journal of Mathematical Physicsjournal2004en

ABI

Abstract

In this paper we consider an Ising model with three competing restricted interactions on the Cayley tree J2(J3). The translation invariant and periodic Gibbs measures for these models are investigated and the problem of the phase transition in these classes is solved.

Topics

Stochastic processes and statistical mechanics Theoretical and Computational Physics Markov Chains and Monte Carlo Methods

Identifiers

DOI: 10.1063/1.1781747

Citations and references

Cited by 8 16 references

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