论文标题
四维交叉聚体模型的相变
Phase transition of the four-dimensional cross-polytope model
论文作者
论文摘要
在平方晶格上研究了四维交叉层模型的热力学特性，16细胞模型是八面体模型的较高维概括的一个例子。通过角转移矩阵恢复归一化组（CTMRG）方法，确认了一阶相变的存在。潜热估计为$ L_4^{〜} = 0.3172 $，它大于八面体模型$ L_3^{〜} = 0.0516 $的热量。结果表明，当考虑了较高维度的跨层模型时，潜热随着内部尺寸$ n $的增加而增加。
Thermodynamic properties of the four-dimensional cross-polytope model, the 16-cell model, which is an example of higher dimensional generalizations of the octahedron model, are studied on the square lattice. By means of the corner transfer matrix renormalization group (CTMRG) method, presence of the first-order phase transition is confirmed. The latent heat is estimated to be $L_4^{~} = 0.3172$, which is larger than that of the octahedron model $L_3^{~} = 0.0516$. The result suggests that the latent heat increases with the internal dimension $n$ when the higher-dimensional series of the cross-polytope models is considered.
