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

页码：2031 / 2039

页数：9

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