Full Connectivity: Corners, Edges and Faces
Full Connectivity: Corners, Edges and Faces
复制标题
全面连接：角、边和面
DOI：
10.1007/s10955-012-0493-y
复制
发表时间：
2012
影响因子：
1.6
通讯作者：
Orestis Georgiou
中科院分区：
文献类型：
--
作者：
J. Coon;C. Dettmann;Orestis Georgiou
我们发展了一个有限几何中高密度随机网络全连通概率的簇展开式。与较低密度下的渗流现象相反，以前在很大程度上被忽视的边界效应不仅相关，而且占主导地位。我们推导出一般的分析公式，表现出持久性的普遍性，在不同的形式渗流理论，并提供数值验证。我们还展示了我们的方法的简单性，在三个简单但有指导意义的例子，并讨论其应用到不同的模型的实际好处。
We develop a cluster expansion for the probability offull connectivityof high density random networks in confined geometries. In contrast to percolation phenomena at lower densities, boundary effects, which have previously been largely neglected, are not only relevant but dominant. We derive general analytical formulas that show a persistence of universality in a different form to percolation theory, and provide numerical confirmation. We also demonstrate the simplicity of our approach in three simple but instructive examples and discuss the practical benefits of its application to different models.