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    Two Potts Models on Cayley Tree of Arbitrary Order by Ganikhodjaev, Nasir, Nawi, Ashraf Mohamed, Rodzhan, Mohd Hirzie

    Published 2012
    “…On a Cayley tree of arbitrary order k we consider two different Potts models with competing nearest-neighbour interactions J1 and next-nearest-neighbour interactions Jp and Jo, where coupling Jp corresponds to interaction of spins belonging to the same branch of the tree (prolonged) and coupling Jo corresponds to interaction of spins belonging to the same shell of the tree (one-level) and find for each model in addition to the expected paramagnetic, ferromagnetic and antiferromagnetic phases, an intermediate range of coupling values where the local magnetization has chaotic oscillatory glass-like behaviour. …”
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    Proceeding Paper
  20. 140

    Attractors on Ising Model with Restricted Interactions on Cayley Tree of Order 2 by Ganikhodjaev, Nasir, Nawi, Ashraf Mohamed

    Published 2013
    “…In this paper we reinvestigate the phase diagram of this model using an iterative scheme, that is developed for a renormalized effective nearest-neighbour coupling Kr and effective field per site Xr for spins on the n-th level of a Cayley tree with competing one-level J0 and prolonged Jp next-nearest-neighbour interactions between Ising spins on the tree. …”
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    Article