کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
978980 | 1480189 | 2008 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Obtaining critical point and shift exponent for the anisotropic two-layer Ising and Potts models: Cellular automata approach
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Using probabilistic cellular automata with the Glauber algorithm, we have precisely calculated the critical points for the anisotropic two-layer Ising and Potts models (Kxâ Kyâ Kz) of the square lattice, where Kx and Ky are the nearest-neighbor interactions within each layer in the x and y directions, respectively and Kz is the inter-layer coupling. A general equation is obtained as a function of the inter- and intra-layer interactions (ξ,Ï) for both the two-layer Ising and Potts models, separately, where ξ=Kz/Kx and Ï=Ky/Kx. Furthermore, the shift exponent for the two-layer Ising and Potts models is calculated. It was demonstrated that in the case of Ï=1 for the two-layer Ising model, the value of Ï=1.756(±0.0078) supports the scaling theories' prediction that Ï=γ. However, for the unequal intra-layer couplings for the two-layer Ising model and also in the case of both equal and unequal intra-layer interactions for the two-layer Potts model, our results are different from those obtained from the scaling theories. Finally, an equation is obtained for the shift exponent as a function of intra-layer couplings (Ï) for the two-layer Ising and Potts models.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 387, Issues 8â9, 15 March 2008, Pages 1937-1946
Journal: Physica A: Statistical Mechanics and its Applications - Volume 387, Issues 8â9, 15 March 2008, Pages 1937-1946
نویسندگان
Yazdan Asgari, Mehrdad Ghaemi,