Mitra Sayantan, Sensharma Ankur
Department of Physics, University of Gour Banga, Malda 732103, West Bengal, India.
Phys Rev E. 2023 Jun;107(6-1):064127. doi: 10.1103/PhysRevE.107.064127.
This paper exhibits a Monte Carlo study on site percolation using the Newmann-Ziff algorithm in distorted square and simple cubic lattices where each site is allowed to be directly linked with any other site if the Euclidean separation between the pair is at most a certain distance d, called the connection threshold. Distorted lattices are formed from regular lattices by a random but controlled dislocation of the sites with the help of a parameter α, called the distortion parameter. The distinctive feature of this study is the relaxation of the restriction of forming bonds with only the nearest neighbors. Owing to this flexibility and the intricate interplay between the two parameters α and d, the site percolation threshold may either increase or decrease with distortion. The dependence of the percolation threshold on the average degree of a site has been explored to show that the obtained results are consistent with those on percolation in regular lattices with an extended neighborhood and continuum percolation.
本文展示了一项关于位点渗流的蒙特卡罗研究，该研究使用纽曼 - 齐夫算法，针对扭曲的正方形晶格和简单立方晶格，其中如果一对位点之间的欧几里得距离至多为某个距离(d)（称为连接阈值），则允许每个位点与任何其他位点直接相连。扭曲晶格是通过借助一个称为畸变参数(\alpha)，对规则晶格的位点进行随机但可控的位错而形成的。本研究的独特之处在于放宽了仅与最近邻形成键的限制。由于这种灵活性以及两个参数(\alpha)和(d)之间复杂的相互作用，位点渗流阈值可能会随着畸变而增加或降低。已探究了渗流阈值对位点平均度的依赖性，结果表明所得结果与具有扩展邻域的规则晶格中的渗流以及连续渗流的结果一致。
