Wszystkie pola: 05.50.+q - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Existence of p-Adic Quasi Gibbs Measures for Mixed Type p-Adic Ising λ-Model
Autorzy:: Dogan, M.
Akin, H.
Mukhamedov, F.
Powiązania:: https://bibliotekanauki.pl/articles/1398800.pdf
Data publikacji:: 2016-04
Wydawca:: Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:: 05.50.+q
02.20.Qs
Opis:: We consider nearest-neighbors and next nearest-neighbors p-adic Ising λ-model with spin values {∓ 1} on a Cayley tree of order two. First we prove that the model satisfies the Kolmogorov consistency condition and then we prove that the nonlinear equation corresponding to the model has at least two solutions in $Q_{p}$, where p is a prime number p ≥ 3. One of the roots is in $ε_{p}$ and the others are in $Q_{p}$\$ε_{p}$. If the nonlinear equation has more than one non-trivial solutions for the model then we conclude that p-adic quasi Gibbs measure exists for the model.
Źródło:: Acta Physica Polonica A; 2016, 129, 4; 861-864
0587-4246
1898-794X
Pojawia się w:: Acta Physica Polonica A
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: The Competing Interactions on a Cayley Tree-Like Lattice: Pentagonal Chandelier
Autorzy:: Uguz, S.
Ganikhodjaev, N.
Akin, H.
Temir, S.
Powiązania:: https://bibliotekanauki.pl/articles/1490904.pdf
Data publikacji:: 2012-01
Wydawca:: Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:: 05.50.+q
64.60.-i
64.60.De
Opis:: Different types of lattice spin systems with competing interactions have rich and interesting phase diagrams. In this study we present some new results for such systems involving the Ising spin system (i.e. σ = ± 1) using a generalization of the Cayley tree-like lattice approximation. We study the phase diagrams for the Ising model on a Cayley tree-like lattice, a new lattice type called pentagonal chandelier, with competing nearest-neighbor interactions $J_1$, prolonged next-nearest-neighbor interactions $J_{p}$ and one-level next-nearest-neighbor senary interactions $J_{l_1}^{(6)}$. The colored phase diagrams contain some multicritical Lifshitz points that are at nonzero temperature and many modulated new phases. We also investigate the variation of the wave vector with temperature in the modulated phase and the Lyapunov exponent associated with the trajectory of the system.
Źródło:: Acta Physica Polonica A; 2012, 121, 1; 114-118
0587-4246
1898-794X
Pojawia się w:: Acta Physica Polonica A
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

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

Skocz do pozycji: 4.

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

Skocz do pozycji: 5.

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

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