论文标题

在2D ISING模型的几何簇中缩放缩放的校正

Corrections to scaling in geometrical clusters of the 2D Ising model

论文作者

Akritidis, Michail, Fytas, Nikolaos G., Weigel, Martin

论文摘要

我们研究了二维ISING模型的几何簇的平均簇大小和渗透强度的缩放。通过蒙特卡洛模拟和有限尺寸的缩放分析,我们讨论了校正的外观,以缩放群集集的不同定义。我们发现,与所考虑的其他定义相比,包括所有渗透簇,或排除仅在一个方向而不是另一个方向渗透的簇,从而导致平均簇大小的缩放较小。渗透强度对所使用的定义不太敏感。

We study the scaling of the average cluster size and percolation strength of geometrical clusters for the two-dimensional Ising model. By means of Monte Carlo simulations and a finite-size scaling analysis we discuss the appearance of corrections to scaling for different definitions of cluster sets. We find that including all percolating clusters, or excluding only clusters that percolate in one but not the other direction, leads to smaller corrections to scaling for the average cluster size as compared to the other definitions considered. The percolation strength is less sensitive to the definitions used.

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