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Two Potts Models on Cayley Tree of Arbitrary Order
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 -
85
Ising model with competing “uncle–nephew” interactions
Published 2016“…We consider the Ising model on the semi-infinite Cayley tree of second order with competing interactions up to the third-nearest-neighbors with spins belonging to the different branches of the tree and for this model investigate the problem of phase transition.…”
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Article -
86
Attractors on Ising Model with Restricted Interactions on Cayley Tree of Order 2
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 -
87
On uniqueness of Gibbs measure for p-adic countable state Potts model on the Cayley tree
Published 2009“…An analogous fact is not true when the number of spins is finite.…”
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Article -
88
On some dynamic systems arising in lattice models with competing ternary interactions
Published 2009“…Later similar result was proved for Potts model with three spins [2]. Let Let …”
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Proceeding Paper -
89
On the existence of phase transition for one dimensional P-adic countable state Potts model
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 -
90
Existence of p-adic quasi Gibbs measure for countable state Potts model on the Cayley tree
Published 2012“…An analogues fact is not valid when the number of spins is finite.…”
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Article -
91
Low–lying states of odd nuclei in the south–west 204Pb region
Published 2013“…The predicted low-lying levels (energies, spins and parities) and B(E2) values results were reasonably consistent with the available experimental data.…”
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Article -
92
Existence of phase transition for 1d-countable state P -adic Potts model
Published 2012“…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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Book Chapter -
93
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Shell model calculations on even nuclei near 208Pb
Published 2012“…The predicted low-lying levels (energies, spins and parities) and B(E2) values results were reasonably consistent with the available experimental data. …”
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Article -
97
Strange attractors in the Vannimenus model on an arbitrary order cayley tree
Published 2013“…In this paper we study the phase diagram of the model using an iterative scheme for a renormalized effective nearest-neighbour coupling Kr and effective field per site Xr for spins on the rth level; it recovers, as particular cases, previous works by Vannimenus, Inawashiro et al, Mariz et al and Ganikhodjaev and Uǧuz. …”
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Article -
98
On the strong phase transition for the one-dimensional countable statep-adic Potts model
Published 2014“…Note that it turns out that the obtained condition does not depend on values of the prime p and, therefore, an analogous fact is not true when the number of spins is �nite. Note that, in the usual real case, if one considers a one-dimensional translation- invariant model with nearest neighbor interaction, then such a model does not exhibit a phase transition. …”
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Article -
99
Cooperative transition of electronic states of antisite As defects in Be-doped low-temperature-grown GaAs layers
Published 2011“…Magnetic properties resulting from localized spins associated with antisite arsenic ions AsGa+ in Be-doped low-temperature-grown GaAs (LT-GaAs) layers were studied by measuring the magnetization of lift-off samples. …”
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Article -
100
Maghemite filled poly-vinyl alcohol nanofibres for tissue engineering scaffold.
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Thesis