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    Wyświetlanie 1-8 z 8
    Tytuł:
    On Gibbs Measures of the Potts Model with Three Competing Interactions on Cayley Tree of Order 3
    Autorzy:
    Akin, H.
    Saygılı, H.
    Powiązania:
    https://bibliotekanauki.pl/articles/1186977.pdf
    Data publikacji:
    2016-04
    Wydawca:
    Polska Akademia Nauk. Instytut Fizyki PAN
    Tematy:
    05.50.+q
    64.60.-i
    75.10.Hk
    64.60.De
    Opis:
    In this paper, we consider the Potts model with competing interactions on the Cayley tree of order three. We give the Potts model on the Cayley tree and its recursion relation. We construct the Gibbs states corresponding to the model by using Markov random field method. We calculate the critical curve, such that there is a phase transition for the model. We show that there are phase transition of the model for some given parameters. We extend the results obtained by Akin and Temir (Condensed Matt. Phys. 14, 23003 (2011)).
    Źródło:
    Acta Physica Polonica A; 2016, 129, 4; 845-848
    0587-4246
    1898-794X
    Pojawia się w:
    Acta Physica Polonica A
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Description of Extreme Gibbs Measures for the Ising Model with Three Interactions
    Autorzy:
    Akin, H.
    Ganikhodjaev, N.
    Temir, S.
    Uguz, S.
    Powiązania:
    https://bibliotekanauki.pl/articles/1400048.pdf
    Data publikacji:
    2013-02
    Wydawca:
    Polska Akademia Nauk. Instytut Fizyki PAN
    Tematy:
    05.50.+q
    64.60.-i
    64.60.De
    75.10.Hk
    Opis:
    In this paper, we consider an Ising model with three competing interactions (nearest neighbor, next-nearest neighbor, and ternary prolonged neighbor) on the Cayley tree of order two, investigated by Ganikhodjaev et al. We study translation-invariant Gibbs measures of the Ising model with these competing interactions. Also, we investigate the set of the extreme Gibbs measures called Markov random fields with memory 2 of the model.
    Źródło:
    Acta Physica Polonica A; 2013, 123, 2; 484-487
    0587-4246
    1898-794X
    Pojawia się w:
    Acta Physica Polonica A
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Simulated Annealing with Tsallis Weights for ±J Spin Glass
    Autorzy:
    Kłos, J.
    Kobe, S.
    Powiązania:
    https://bibliotekanauki.pl/articles/2013971.pdf
    Data publikacji:
    2000-05
    Wydawca:
    Polska Akademia Nauk. Instytut Fizyki PAN
    Tematy:
    05.50.+q
    64.60.Cn
    75.10.Hk
    Opis:
    Recently, on the basis of the Tsallis distribution of states the generalized Monte Carlo acceptance probabilities have been proposed and applied to various optimization problems. In the paper we used the generalized simulated annealing algorithms for the ±J spin glass model. Efficiency of the new annealing procedures was compared with that of the conventional methods. This was done with respect to the number of annealing steps and to the lowest energy found. The algorithms were applied to a system of 70×70 spins on a square lattice with periodical boundary conditions whose ground state configurations are known exactly. This enables us to evaluate the efficiency in a quantitative way.
    Źródło:
    Acta Physica Polonica A; 2000, 97, 5; 943-946
    0587-4246
    1898-794X
    Pojawia się w:
    Acta Physica Polonica A
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Magnetization and Susceptibility of a Diluted Triangular Ising Antiferromagnet in a Field
    Autorzy:
    Borovský, M.
    Žukovič, M.
    Bobák, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/1199489.pdf
    Data publikacji:
    2014-07
    Wydawca:
    Polska Akademia Nauk. Instytut Fizyki PAN
    Tematy:
    05.50.+q
    64.60.De
    75.10.Hk
    75.50.Ee
    Opis:
    Within the framework of the effective-field theory with correlations we investigate effects of an external magnetic field and random site dilution on basic thermodynamic quantities, such as the magnetization and the magnetic susceptibility, on the geometrically frustrated triangular lattice Ising antiferromagnet. Behavior of these quantities is presented in the temperature-field parameter space for selected mild degrees of dilution. It is found that, besides the anomalies associated with phase transitions from the ferrimagnetic to the paramagnetic state, in certain regions of the parameter space these functions display some more anomalies and peculiarities, as a result of joint effects of the geometrical frustration, magnetic dilution, thermal fluctuations and the applied magnetic field.
    Źródło:
    Acta Physica Polonica A; 2014, 126, 1; 16-17
    0587-4246
    1898-794X
    Pojawia się w:
    Acta Physica Polonica A
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Low-Temperature Properties of Ising Antiferromagnet on a Stacked Triangular Lattice
    Autorzy:
    Žukovič, M.
    Mižišin, L.
    Bobák, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/1199547.pdf
    Data publikacji:
    2014-07
    Wydawca:
    Polska Akademia Nauk. Instytut Fizyki PAN
    Tematy:
    05.50.+q
    64.60.De
    75.10.Hk
    75.50.Ee
    Opis:
    An Ising antiferromagnet on a stacked triangular lattice in zero field is studied by Monte Carlo simulations, focusing on the character of the low-temperature phase and the effect of the relative strength of the exchange interaction in the stacking direction α. Our results support the presence of the 3D Wannier phase, with the sublattice magnetization structure (m, -m, 0) and power-law decaying m with the lattice size. The extent of this low-temperature phase shrinks with decreasing α, however, it appears even at very low values if it is accessed from higher temperatures by sufficiently slow cooling.
    Źródło:
    Acta Physica Polonica A; 2014, 126, 1; 40-41
    0587-4246
    1898-794X
    Pojawia się w:
    Acta Physica Polonica A
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Effective Field Methods for Magnetic Systems
    Autorzy:
    Kamieniarz, G.
    Dekeyser, R.
    Musiał, G.
    Powiązania:
    https://bibliotekanauki.pl/articles/1930600.pdf
    Data publikacji:
    1994-02
    Wydawca:
    Polska Akademia Nauk. Instytut Fizyki PAN
    Tematy:
    64.60.Cn
    64.60.Fr
    05.50.+q
    75.10.Dg
    75.10.Hk
    75.10.Jm
    75.40.Cx
    75.40.Mg
    Opis:
    The self-consistency conditions inherent in the mean-field approximation are extended to take into account some pair correlations. Ii is shown that this extension is systematically improvable and applicable to the spin systems with short-range interactions in the entire temperature region. With two correlations included and the renormalization-group ideas implemented, the critical properties of the Ising model are satisfactorily revealed. Moreover, the improved estimates of the thermodynamical quantities for the quantum linear XY model from the finite-size calculations are found down to very low temperatures.
    Źródło:
    Acta Physica Polonica A; 1994, 85, 2; 413-417
    0587-4246
    1898-794X
    Pojawia się w:
    Acta Physica Polonica A
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Monte Carlo Study of a Spin-3/2 Blume-Emery-Griffiths Model on a Honeycomb Lattice
    Autorzy:
    Žukovič, M.
    Jaščur, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/1199541.pdf
    Data publikacji:
    2014-07
    Wydawca:
    Polska Akademia Nauk. Instytut Fizyki PAN
    Tematy:
    05.50.+q
    64.60.De
    75.10.Hk
    75.30.Kz
    75.50.Lk
    Opis:
    We study the phase diagram of the spin-3/2 Blume-Emery-Griffiths model on a honeycomb lattice by Monte Carlo simulations in order to verify the presence of some peculiar features predicted by the effective field theory (EFT) with correlations. The locations of the order-disorder phase boundaries are estimated from thermal variations of the magnetic susceptibility curves. It is found that for positive values of the biquadratic interactions the critical boundary shows a discontinuous character as a function of the single-ion anisotropy strength, in line with the EFT expectations. However, for negative values of the biquadratic interactions the step-like variation of the critical frontier predicted by EFT was not reproduced.
    Źródło:
    Acta Physica Polonica A; 2014, 126, 1; 36-37
    0587-4246
    1898-794X
    Pojawia się w:
    Acta Physica Polonica A
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Ordering in Triangular Lattice Ising Antiferromagnet Due to Dilution and Magnetic Field
    Autorzy:
    Žukovič, M.
    Borovský, M.
    Bobák, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/1506982.pdf
    Data publikacji:
    2010-11
    Wydawca:
    Polska Akademia Nauk. Instytut Fizyki PAN
    Tematy:
    05.50.+q
    64.60.De
    75.10.Hk
    75.30.Kz
    75.50.Ee
    75.50.Lk
    Opis:
    We study effects of an external magnetic field and random site dilution on the magnetic ordering in the geometrically frustrated triangular lattice Ising antiferromagnet by the use of an effective-field theory with correlations. In particular, we find that already a small amount of the quenched dilution locally relieves the frustration which in the presence of the external field is manifested by multiple splitting of a broad frustration-induced 1/3 magnetization plateau. Depending on the field strength, the dilution can either decrease or increase the magnetization or even change its effect from decreasing to increasing.
    Źródło:
    Acta Physica Polonica A; 2010, 118, 5; 740-741
    0587-4246
    1898-794X
    Pojawia się w:
    Acta Physica Polonica A
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-8 z 8

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