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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
  18. 58

    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
  19. 59

    On some dynamic systems arising in lattice models with competing ternary interactions by Ganikhodjaev, Nasir

    Published 2009
    “…Later similar result was proved for Potts model with three spins [2]. Let Let …”
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    Proceeding Paper
  20. 60

    On the existence of phase transition for one dimensional P-adic countable state Potts model by Mukhamedov, Farrukh

    Published 2011
    “…Note that it turns out that the finding condition does not depend on values of the prime p , and therefore, an analogous fact is not true when the number of spins is finite.…”
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    Proceeding Paper