The Simulation of the Two-Dimensional Ising Model on the Creutz Cellular Automaton for the Fractals Obtained by Using the Model of Diffusion-Limited Aggregation

被引：4

作者：

Merdan, Ziya ^{[1
]}

Bayirli, Mehmet ^{[2
]}

Ozturk, Mustafa Kemal ^{[3
]}

机构：

[1] Kirikkale Univ, Dept Phys, Fac Arts & Sci, Kirikkale, Turkey

[2] Balikesir Univ, Dept Phys, Fac Arts & Sci, Balikesir, Turkey

[3] MTA, Dept Mineral Anal & Teknol, Ankara, Turkey

来源：

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2010年 / 65卷 / 8-9期

关键词：

Ising Model; Finite Size Scaling; Cellular Automaton; Fractals; SIZE-SCALING RELATIONS; BINDER PARAMETER; COMPUTATION; DIMENSION; EXPONENTS; HEAT; CLUSTERS; PATTERN; NUMBER;

D O I：

10.1515/zna-2010-8-912

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

The fractals are obtained by using the model of diffusion limited aggregation (DLA) for the lattice with L = 80 120, and 160 The values of the fractal dimensions are compared with the results of former studies As increasing the linear dimensions they are in good agreement with those The fractals obtained by using the model of DLA rue simulated on the Creutz cellular automaton by using a two bit demon The values computed for the critical temperature and the static critical exponents within the framework of the brute size scaling theory are in agreement with the results of other simulations and theoretical values

引用

页码：705 / 710

页数：6

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