A numerical method to compute exactly the partition function with application toZ(n) theories in two dimensions
A numerical method to compute exactly the partition function with application toZ(n) theories in two dimensions
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一种应用二维 Z(n) 理论精确计算配分函数的数值方法
DOI：
10.1007/bf01013669
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发表时间：
1990
影响因子：
1.6
通讯作者：
G. Bhanot
中科院分区：
文献类型：
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作者：
G. Bhanot
摘要：我提出了一种新方法来精确计算任意维度的一类离散模型的配分函数。在 Ldlattice 尺度上计算神经状态模型的时间，例如
$$n^{L^{d - 1} } nL^d $$
。我通过计算最大晶格尺寸分别为 10×10 和 8×8 的 2D Ising 和 3 态 Potts 模型的配分函数来展示使用此方法的示例。由此获得的临界指数v和α以及临界温度非常接近确切的已知值。 Potts模型的配分函数的零点分布导致了这样的猜想：低于和高于临界温度的比热幅值之比为1。
AbstractI present a new method to exactly compute the partition function of a class of discrete models in arbitrary dimensions. The time for the computation for ann-state model on anLdlattice scales like
$$n^{L^{d - 1} } nL^d $$
. I show examples of the use of this method by computing the partition function of the 2D Ising and 3-state Potts models for maximum lattice sizes 10×10 and 8×8, respectively. The critical exponentsv andα and the critical temperature one obtains from these are very near the exactly known values. The distribution of zeros of the partition function of the Potts model leads to the conjecture that the ratio of the amplitudes of the specific heat below and above the critical temperature is unity.
DOI：
10.1145/1874391.187410
发表时间：
1987-02
期刊：
ACM SIGSOFT Softw. Eng. Notes
影响因子：
--
作者：
Will Tribbey
通讯作者：
Will Tribbey