The magnetic properties of anisotropic 3D Ising model on a cubic lattice are studied by Monte Carlo simulation. In particular, we have considered an extended 3D Ising model with spatially uniaxial anisotropic bond randomness on the simple cubic lattice parameterized by exchange interaction parameter [Formula: see text], anisotropy parameter [Formula: see text] and external longitudinal magnetic field [Formula: see text]. The obtained numerical data clearly point out a second-order ferromagnetic-paramagnetic phase transition belonging in the same universality class with the 3D random Ising model at critical temperature [Formula: see text] that is strongly correlated to [Formula: see text] and [Formula: see text]. Especially, in the limit, [Formula: see text], the spin ½ cubic lattice becomes a collection of noncorrelated Ising chains, whereas in the other limit, [Formula: see text], the system becomes a stack of noncorrelated Ising square lattice.

中文翻译：

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3D 扩展 Ising 模型局部磁特性的各向异性效应

通过蒙特卡罗模拟研究了立方晶格上各向异性3D Ising模型的磁性。特别是，我们考虑了一个扩展的 3D Ising 模型，其在简单立方晶格上具有空间单轴各向异性键随机性，由交换相互作用参数 [公式：见文本]、各向异性参数 [公式：见文本] 和外部纵向磁场 [公式：见正文]。获得的数值数据清楚地指出了与临界温度下的 3D 随机 Ising 模型[公式：见文本] 属于同一普遍性类别的二阶铁磁 - 顺磁相变，该相变与 [公式：见文本] 和 [公式：见正文]。特别是在极限[公式：见正文]中，自旋 ½ 立方晶格变成了不相关的伊辛链的集合，