GEOMETRY OF RANDOM SEQUENTIAL ADSORPTION
GEOMETRY OF RANDOM SEQUENTIAL ADSORPTION
复制标题
DOI：
10.1007/bf01011908
复制
发表时间：
1986-09-01
影响因子：
1.6
通讯作者：
JOSSANG, T
中科院分区：
文献类型：
--
作者：
HINRICHSEN, EL;FEDER, J;JOSSANG, T
通过顺序添加线段的线或磁盘的表面在随机位置没有重叠，我们得到的配置的一维和二维随机顺序吸附（RSA）问题。我们模拟了具有周期边界条件的一维和二维问题。一维模拟与精确的解析解进行了比较，给出了模拟精度的估计。在两个维度的RSA配置的几何性质进行了讨论，此外，已知的结果的RSA过程中再现。分析了与RSA盘结构对应的Voronoi-Dirichlet（VD）网络的各种统计分布。为了表征RSA配置中的孔，我们引入圆孔。在VD网络的顶点与这些孔之间以及在直接/间接几何邻居与这些孔之间存在直接对应。孔径分布呈抛物线状。我们还发现，连接的表面覆盖，相关函数的渐近行为，和孔的大小分布的一般关系。
By sequentially adding line segments to a line or disks to a surface at random positions without overlaps, we obtain configurations of the one- and two-dimensional random sequential adsorption (RSA) problem. We have simulated the one- and two-dimensional problem with periodic boundary condition. The one-dimensional simulations are compared with the exact analytical solutions to give an estimate of the accuracy of the simulation. In two dimensions the geometrical properties of the RSA configuration are discussed and in addition known results of the RSA process are reproduced. Various statistical distributions of the Voronoi-Dirichlet (VD) network corresponding to the RSA disk configuration are analyzed. In order to characterize pores in the RSA configuration, we introduce circular holes. There is a direct correspondence between vertices of the VD network and these holes, and also between direct/indirect geometrical neighbors and these holes. The hole size distribution is found to be a parabola. We also find general relations that connect the asymptotic behavior of the surface coverage, the correlation function, and the hole size distribution.