四维交叉多面体模型的相变
Phase transition of the four-dimensional cross-polytope model
摘要：
本文在正方形格子上研究了四维交叉多面体模型，即八面体模型的高维推广的一个例子--16胞模型的热力学性质。通过角转移矩阵重整化群（CTMRG）方法，证实了一级相变的存在。潜热估计为$L_4^{~} = 0.3172$，其大于八面体模型$L_3^{~} = 0.0516$。结果表明，当考虑高维系列的交叉多面体模型时，潜热随内维数$n$的增加而增加。
英文摘要：
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.
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