کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9506472 | 1340750 | 2005 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The effect of the increase of linear dimensions on exponents obtained by finite-size scaling relations for the six-dimensional Ising model on the Creutz cellular automaton
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: The effect of the increase of linear dimensions on exponents obtained by finite-size scaling relations for the six-dimensional Ising model on the Creutz cellular automaton The effect of the increase of linear dimensions on exponents obtained by finite-size scaling relations for the six-dimensional Ising model on the Creutz cellular automaton](/preview/png/9506472.png)
چکیده انگلیسی
The six-dimensional Ising model is simulated on the Creutz cellular automaton using the finite-size lattices with the linear dimension 4 ⩽ L ⩽ 12. The exponents in the finite-size scaling relations for the magnetic susceptibility, the order parameter and the specific heat at the infinite-lattice critical temperature are computed to be 3.00(12), 1.49(12) and 0.001(68) using 4 ⩽ L ⩽ 10, respectively, which are in very good agreement with the theoretical predictions of 62, 64 and 0. The critical temperature for the infinite lattice is found to be 10.8347(52) using 6 ⩽ L ⩽ 12 which is also in very good agreement with the precise results. The finite-size scaling relation for magnetic susceptibility at the infinite-lattice critical temperature is also valid for the maxima of magnetic susceptibilities of the finite-size lattices. The finite-size scaling plots of magnetic susceptibility, the order parameter and the specific heat verify the finite-size scaling relations about the infinite-lattices temperature.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 167, Issue 1, 5 August 2005, Pages 212-224
Journal: Applied Mathematics and Computation - Volume 167, Issue 1, 5 August 2005, Pages 212-224
نویسندگان
Z. Merdan, M. Bayırlı,