论文标题
人体中心立方体晶格的分析平均磁化表达
Analytic average magnetization expression for the body centered cubic Ising lattice
论文作者
论文摘要
最近，我们对正方形，蜂窝，三角形和简单立方晶格的ISING模型进行了大规模平均磁化研究。我们希望通过本文中以结构上更复杂的以身体为中心的立方晶格模型来补充这些研究。我们已经根据$ \langleσ_{0，i} \ rangle = \ langle \ tanh [k（σ_{1，I}+σ_}+σ_{2，I}+σ_{2，I}+σ， +σ_{z，i}） +h] \ rangle $。我们将使用与以前的作品相同的奇数相关功能来使用相同的猜想。奇数自旋相关函数的数学形式最终将通过一些物理讨论来阐明。我们已经看到，获得的平均磁化表达式具有以身体为中心的立方晶格模型的数值数据，这是很好的一致性。
Recently we have performed large-scale average magnetization studies of the Ising model for the square, honeycomb, triangular, and simple cubic lattice. We want to complement those studies with the structurally more complicated body-centered cubic lattice Ising model in this paper. We have relevantly calculated the order parameter or average magnetization expression for the body-centered cubic Ising lattice based on the recently developed interrelation, given by $\langleσ_{0, i}\rangle= \langle\tanh[K(σ_{1,i}+σ_{2,i}+\dots +σ_{z,i})+H]\rangle$. We will use the same conjectures for the odd spins correlation functions as in our previous works. The mathematical forms of the odd spin correlation functions will be eventually elucidated by some physical discussions. We have seen that the obtained average magnetization expression with the numerical data for the body-centered cubic lattice Ising model is in good agreement.
