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Tytuł:
Behaviors of Phase Diagrams of Ising Model with Competing Ternary and Binary Interactions on a Cayley Tree of Arbitrary Order
Autorzy:
Akin, H.
Ganikhodjaev, N.
Uguz, S.
Temir, S.
Powiązania:
https://bibliotekanauki.pl/articles/1490877.pdf
Data publikacji:
2012-01
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
05.50.+q
64.60.-i
64.60.De
Opis:
An Ising model with competing interactions has recently been studied extensively because of the appearance of nontrivial magnetic orderings. In this paper, we study the phase diagrams for the Ising model on a Cayley tree with competing nearest-neighbor interactions J and ternary prolonged interactions $J_{t_{p}}$ on a Cayley tree of arbitrary order k and compare with the phase diagrams obtained in Uguz et al. and Vannimenus results for the Ising model on a Cayley tree with competing nearest-neighbor interactions J and ternary prolonged interactions $J_{p}$. For some values of k, we obtain phase diagrams of the model. We clarify the role of order k of the Cayley tree. We also plot the variation of the wave vector with temperature.
Źródło:
Acta Physica Polonica A; 2012, 121, 1; 104-107
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:
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:
The Phase Diagrams of Spin-1/2 Ising Model on a Two-Layer Bethe Lattice with AFM/AFM Interactions
Autorzy:
Albayrak, E.
Yigit, A.
Powiązania:
https://bibliotekanauki.pl/articles/1807767.pdf
Data publikacji:
2009-08
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
05.50.+q
68.35.Rh
64.60.Cn
Opis:
The phase diagrams of spin-1/2 Ising model on a two-layer Bethe lattice with antiferromagnetic interactions for each layer and either antiferromagnetic or ferromagnetic interaction between the layers are investigated by using the pairwise approach for given values of coordination number q. The exact expressions of the order-parameters, response functions and free energy are obtained in terms of the recursion relations. The ground-state phase diagrams are calculated for given system parameters of the model. In the guidance of the ground-state phase diagrams, the temperature dependent phase diagrams of the model are also studied in detail for given coordination numbers q = 3, 4 and 6. It was found that the system presents only second-order phase transitions with different thermal behaviors for all values of q. In addition, two Néel temperatures, $T_{N}$, are found for q = 6 only.
Źródło:
Acta Physica Polonica A; 2009, 116, 2; 127-134
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Perturbed Infinite 3D Simple Cubic Network of Identical Capacitors
Autorzy:
Asad, J.
Diab, A.
Owaidat, M.
Khalifeh, J.
Powiązania:
https://bibliotekanauki.pl/articles/1205363.pdf
Data publikacji:
2014-08
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
61.50.Ah
84.37.+q
05.50.+q
04.60.Nc
63.90.+t
84.30.Bv
02.90.+p
Opis:
The effective capacitance between the origin and any other lattice site, in an infinite 3D simple cubic network consisting of identical capacitors, is evaluated in terms of the lattice Green function of the network. The perfect case is reviewed shortly, while the perturbed case (a capacitor is removed) is studied in two cases. Numerical values of the effective capacitance are presented and the asymptotic behavior is studied for the both cases.
Źródło:
Acta Physica Polonica A; 2014, 126, 3; 777-781
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Remarks on the Lattice Green Function for the Anisotropic Face Centered Cubic Lattice
Autorzy:
Asad, J.
Hijjawi, R.
Hasan, Eyad
Diab, A.
Khalifeh, J.
Powiązania:
https://bibliotekanauki.pl/articles/1191217.pdf
Data publikacji:
2016-01
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
61.50.Ah
05.50.+q
04.60.Nc
63.90.+t
02.90.+p
Opis:
An expression for the Green function of anisotropic face centered cubic lattice is evaluated analytically and numerically for a single impurity problem. The density of states, phase shift and scattering cross-section are expressed in terms of complete elliptic integrals of the first kind.
Źródło:
Acta Physica Polonica A; 2016, 129, 1; 52-58
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Infinite Body Centered Cubic Network of Identical Resistors
Autorzy:
Asad, Jihad
Diab, A.
Owaidat, M.
Hijjawi, R.
Khalifeh, J.
Powiązania:
https://bibliotekanauki.pl/articles/1206306.pdf
Data publikacji:
2014-01
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
61.50.Ah
61.50.+f
61.66.f
84.37.+q
05.50.+q
04.60.Nc
63.90.+t
84.30.Bv
02.90.+p
Opis:
We express the equivalent resistance between the origin (0,0,0) and any other lattice site ($n_1$,$n_2$,$n_3$) in an infinite body centered cubic network consisting of identical resistors each of resistance R rationally in terms of known values $b_{0}$ and π. The equivalent resistance is then calculated. For large separations two asymptotic formulae for the resistance are presented and some numerical results with analysis are given.
Źródło:
Acta Physica Polonica A; 2014, 125, 1; 60-64
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Effect of a Random Crystal-Field on the Mixed Ising Spins (1/2, 3/2)
Autorzy:
Bahmad, L.
Benayad, M.
Benyoussef, A.
El Kenz, A.
Powiązania:
https://bibliotekanauki.pl/articles/1504480.pdf
Data publikacji:
2011-06
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
05.50.+q
75.10.Hk
75.50.Gg
Opis:
We study the magnetic properties of a mixed Ising ferrimagnetic system, in which the two interacting sublattices have spins σ,(±1/2) and spins S,(±3/2,±1/2) in the presence of a random crystal field, with the mean field approach. The results obtained, using mean field approach and Monte Carlo simulation, show the appearance of a new ferrimagnetic phase, namely the partly ferrimagnetic phase ($m_{σ}$ = -1/2 , $m_{S}$ = +1). Consequently, three topologically different types of phase diagrams have been given by mean field approach. The effect of increasing the exchange interaction parameter J, at very low temperature is also investigated.
Źródło:
Acta Physica Polonica A; 2011, 119, 6; 740-746
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Some Statistical Properties of the Rough Surface
Autorzy:
Balcerzak, T.
Powiązania:
https://bibliotekanauki.pl/articles/1929299.pdf
Data publikacji:
1993-05
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
05.50.+q
68.35.Md
Opis:
The temperature induced roughening of the solid surface is described by means of a discrete Gaussian model, using integral operator technique. On the basis of the exact statistical identities, the formulae for several local moments, i.e. ⟨hi⟩), ⟨(hi)$\text{}^{2}$⟩ and ⟨hihj⟩ are derived. The results of computer calculations, including surface specific heat, are presented for three lattices with z = 3, 4, and 6. In discussion, some further applications of the presented method are suggested.
Źródło:
Acta Physica Polonica A; 1993, 83, 5; 597-610
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Comparison of Properties of One-Dimensional ± J Ising Models on Square Lattices
Autorzy:
Błaszyk, M.
Powiązania:
https://bibliotekanauki.pl/articles/1808002.pdf
Data publikacji:
2009-05
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
05.50.+q
75.10.Nr
75.50.Lk
Opis:
The energies and entropies of the one-dimensional ± J Ising models on square lattices have been compared. The method proposed in this paper explains the impossibility of getting exact results in nonzero temperatures and specifies the conditions of error minimisation.
Źródło:
Acta Physica Polonica A; 2009, 115, 5; 849-853
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Ground-State Energy of a Frustrated ±J Ising Model on a Strip of Squares
Autorzy:
Błaszyk, M.
Fechner, B.
Powiązania:
https://bibliotekanauki.pl/articles/2013704.pdf
Data publikacji:
2000-05
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
05.50.+q
75.10.Nr
75.50.Lk
Opis:
We investigated a ±J Ising model on an infinite strip of squares of the width of one and two bonds with a random distribution of ferro- and antiferromagnetic exchange interactions. The exact ground-state energy as a function of the concentration of antiferromagnetic bonds was derived and its singular points in the complex-plane were found.
Źródło:
Acta Physica Polonica A; 2000, 97, 5; 855-858
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Magnetisation and Entropy of a One-Dimensional±J Ising Model in a Uniform Magnetic Field
Autorzy:
Błaszyk, M.
Powiązania:
https://bibliotekanauki.pl/articles/2047254.pdf
Data publikacji:
2007-02
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
05.50.+q
75.10.Nr
75.50.Lk
Opis:
An approximation scheme related to the averaging procedure over finite fragments of the lattice was proposed. The magnetisation and entropy were calculated numerically. The correctness of this approximation scheme was analysed against the magnetic field and temperature.
Źródło:
Acta Physica Polonica A; 2007, 111, 2; 191-200
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
One-Dimensional Spin Glass
Autorzy:
Błaszyk, M.
Fechner, B.
Powiązania:
https://bibliotekanauki.pl/articles/2046876.pdf
Data publikacji:
2006-07
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
05.50.+q
75.10.Nr
75.50.Lk
Opis:
Thermodynamics of one-dimensional finite-ranged Ising model with quenched disorder introduced by random admixture of bonds with second neighbours by means of transfer-matrix method was determined. The influence of frustrations and competition on the internal energy, specific heat, correlations functions, and susceptibility was studied.
Źródło:
Acta Physica Polonica A; 2006, 110, 1; 11-24
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
One-Dimensional Time-Dependent Frustrated and Disordered Ising Model
Autorzy:
Błaszyk, M.
Powiązania:
https://bibliotekanauki.pl/articles/1812030.pdf
Data publikacji:
2008-10
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
05.50.+q
75.10.Nr
75.50.Lk
Opis:
The dynamics being modifications of the Glauber one were proposed. The time course of the single spin and two-spin correlation function was determined. These calculations were performed for ordered systems, although a possibility of their extension over disordered ones was indicated.
Źródło:
Acta Physica Polonica A; 2008, 114, 4; 657-666
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
One-Dimensional Time-Dependent Ising Model in an External Magnetic Field
Autorzy:
Błaszyk, M.
Powiązania:
https://bibliotekanauki.pl/articles/1808075.pdf
Data publikacji:
2009-03
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
05.50.+q
Opis:
The relaxation process, through which the inequilibrium state described by the Ising model reaches the equilibrium state, was proposed. The process is defined by the action of the transition matrix on the vector of state and the demand of its normalisation. It is assumed that in the state of inequilibrium the vector of state has the same functional dependence as the eigenvector of the transition matrix corresponding to the highest eigenvalue. Two cases are considered: when the cell under transformation is composed of one or two sites. The calculations were performed for a uniform initial state. For the two cases of one and two-site cells the modes of reaching the equilibrium state via magnetisation were compared. When the external magnetic field and temperature tend to zero, both magnetisation and the correlation function of the nearest neighbours show the critical slowing down phenomenon.
Źródło:
Acta Physica Polonica A; 2009, 115, 3; 617-621
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł

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