Random Sequential Adsorption of Objects of Decreasing Size

The exact probability distribution of saturating states in random sequential adsorption

We consider the non-overlapping irreversible random sequential adsorption (RSA) process on one-dimensional finite line, which is known also as the car parking process. The probability of each coverage in saturating states is analytically and exactly obtained. In the derivation, a new representation of states in RSA process is introduced, which effectively works to make the calculation clear and simple.

每个位点仅一次沉积的一维AB随机顺序吸附模型

One-dimensional $AB$ random sequential adsorption with one deposition per site

本文研究一维AB随机顺序吸附模型，在每格点仅允许一次沉积且异类粒子不能相邻的约束下，解析推导出两类粒子平均密度随时间演化的精确表达式。

Corrected mean-field model for random sequential adsorption on random geometric graphs

A notorious problem in mathematics and physics is to create a solvable model for random sequential adsorption of non-overlapping congruent spheres in the $d$-dimensional Euclidean space with $d\geq 2$. Spheres arrive sequentially at uniformly chosen locations in space and are accepted only when there is no overlap with previously deposited spheres. Due to spatial correlations, characterizing the fraction of accepted spheres remains largely intractable. We study this fraction by taking a novel approach that compares random sequential adsorption in Euclidean space to the nearest-neighbor blockin…

由合作序贯吸附启发的概率模型

Probabilistic models motivated by cooperative sequential adsorption

本文综述了由合作序贯吸附模型启发的概率模型，涵盖其在欧氏空间和图上的随机序贯分配表述，以及相应的空间或整数值生灭过程。

Random sequential adsorption of k-mers on the fully-connected lattice: probability distributions of the covering time and extreme value statistics

We study the random sequential adsorption of $k$-mers on the fully-connected lattice with $N=kn$ sites. The probability distribution $T_n(s,t)$ of the time $t$ needed to cover the lattice with $s$ $k$-mers is obtained using a generating function approach. In the low coverage scaling limit where $s,n,t\to\infty$ with $y=s/n^{1/2}={\mathrm O}(1)$ the random variable $t-s$ follows a Poisson distribution with mean $ky^2/2$. In the intermediate coverage scaling limit, when both $s$ and $n-s$ are ${\mathrm O}(n)$, the mean value and the variance of the covering time are growing as $n$ and the fluctu…

梯图上的随机顺序吸附模型

A model of random sequential adsorption on a ladder graph

本文研究两行正方形梯图上的一类随机顺序吸附（RSA）模型，补充静态阻塞态结构分析，给出动态与静态两种设定下覆盖比例关键统计量的显式表达式并说明差异，用囚禁里德堡原子系综玩具模型验证结果。