Using a computer simulation, we have studied the random sequential adsorption of stiff linear $k$-mers onto a square lattice. Each such particle occupies $k$ adjacent lattice sites. During deposition, the two mutually perpendicular orientations of the particles are equiprobable, hence, a macroscopically isotropic monolayer is formed. However, this monolayer is locally anisotropic, since the deposited particles tend to form domains of particles with the same orientation. Using the “excluded area” concept, we have classified lattice sites into several types and examined how the fraction of each type of lattice site varies as the number of deposited particles increases. The behaviors of these quantities have allowed us to identify the following stages of domain formation: (i) the emergence of domain seeds, (ii) the filling of domains, and (iii) densification of the domains.

中文翻译：

---

刚性线性异构体随机顺序吸附到正方形晶格上时畴形成的表征

使用计算机模拟，我们研究了刚性线形的随机顺序吸附 $ķ$-mers到一个方格上。每个这样的粒子占据$ķ$相邻的晶格位点。在沉积期间，颗粒的两个相互垂直的取向是等概率的，因此，形成了宏观各向同性的单层。但是，该单层是局部各向异性的，因为沉积的颗粒倾向于形成具有相同取向的颗粒域。使用“排除区域”的概念，我们将晶格位点分为几种类型，并研究了每种晶格位点的分数随沉积颗粒数量的增加如何变化。这些数量的行为使我们能够确定域形成的以下阶段：（i）域种子的出现，（ii）域的填充，以及（iii）域的致密化。