In this work, we present a computational procedure to locate the dominant Fisher zero of the partition function of a thermodynamic system. The procedure greatly reduces the required computer processing time to find the dominant zero when compared to other dominant zero search procedures. As a consequence, when the partition function results in very large polynomials, the accuracy of the results can be increased, since less drastic truncation of the polynomials (or even no truncation) is necessary. We apply the procedure to the 2D Ising model in a square lattice, obtaining very accurate results for the critical temperature and some of the critical exponents of the model. We also show the results obtained when the technique is used with the Monte Carlo simulated 2D Ising model in large lattices.

中文翻译：

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找到能量概率分布的主导零

在这项工作中，我们提出了一个计算过程来定位热力学系统配分函数的主要费希尔零。与其他显性零搜索程序相比，该程序大大减少了查找显性零所需的计算机处理时间。因此，当配分函数产生非常大的多项式时，可以提高结果的准确性，因为需要对多项式进行不太剧烈的截断（甚至不需要截断）。我们将该程序应用于方格中的 2D Ising 模型，获得了模型的临界温度和一些临界指数的非常准确的结果。我们还展示了当该技术与蒙特卡罗模拟的 2D Ising 模型在大晶格中使用时获得的结果。