论文标题
在一个简单的立方晶格中渗透
Percolation in a simple cubic lattice with distortion
论文作者
论文摘要
扭曲的简单立方晶格中的位点渗透是用Newman-Ziff算法来表征的。通过系统地和随机将其位点与常规位置脱位，在晶格中施用失真。失真量可通过称为失真参数的参数来调整。在此模型中，仅当它们之间的距离小于称为连接阈值的预定义值时，才考虑两个占据的相邻位点。观察到，如果连接阈值等于或大于常规晶格的晶格常数，则渗透阈值总是会随着失真而增加。另一方面，如果连接阈值小于晶格常数，则渗透阈值首先减小，然后随着变形的增加而稳定增加。结果表明，渗滤阈值的变化可以通过失真的占用键的分数的变化来很好地解释。过渡的相关临界指数的值强烈表明，常规和扭曲的简单立方晶格中的渗透属于同一普遍性类别。还证明，该模型与位点 - 键渗透模型本质上不同。
Site percolation in a distorted simple cubic lattice is characterized numerically employing the Newman-Ziff algorithm. Distortion is administered in the lattice by systematically and randomly dislocating its sites from their regular positions. The amount of distortion is tunable by a parameter called the distortion parameter. In this model, two occupied neighboring sites are considered connected only if the distance between them is less than a predefined value called the connection threshold. It is observed that the percolation threshold always increases with distortion if the connection threshold is equal to or greater than the lattice constant of the regular lattice. On the other hand, if the connection threshold is less than the lattice constant, the percolation threshold first decreases, then increases steadily as distortion is increased. It is shown that the variation of the percolation threshold can be well explained by the change in the fraction of occupied bonds with distortion. The values of the relevant critical exponents of the transition strongly indicate that percolation in regular and distorted simple cubic lattices belong to the same universality class. It is also demonstrated that this model is intrinsically distinct from the site-bond percolation model.
