The Finite-Size Scaling Study of the Ising Model for the Fractals

被引：1
|
作者：
Merdan, Z. [1 ]
Bayirli, M. [2 ]
Gunen, A. [1 ]
Bulbul, M. [1 ]
机构：
[1] Gazi Univ, Dept Phys, Fac Arts & Sci, Ankara, Turkey
[2] Balikesir Univ, Fac Arts & Sci, Dept Phys, Balikesir, Turkey
来源：
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2016年 / 55卷 / 04期
关键词：
Ising model; Finite-size scaling; Cellular automaton; Fractals; CRITICAL EXPONENTS; BINDER PARAMETER; SIMULATION; COMPUTATION; DIMENSIONS; HEAT; NUMBER;
D O I：
10.1007/s10773-015-2843-4
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The fractals are obtained by using the model of diffusion-limited aggregation (DLA) for 40 a parts per thousand currency sign L a parts per thousand currency sign 240. The two-dimensional Ising model is simulated on the Creutz cellular automaton for 40 a parts per thousand currency sign L a parts per thousand currency sign 240. The critical exponents and the fractal dimensions are computed to be beta = 0.124(8), gamma = 1.747(10), alpha = 0.081(21), delta = 14.994(11), eta = 0.178(10), nu = 0.960(23) and , , , which are consistent with the theoretical values of beta = 0.125, gamma = 1.75, alpha = 0, delta = 15, eta = 0.25, nu = 1 and .
引用
收藏
页码：2031 / 2039
页数：9
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