定向针的堵塞系统总是在正方形网格上渗透
Jammed systems of oriented needles always percolate on square lattices
摘要：
随机顺序吸附（RSA）是模拟大分子在液-固界面吸附的标准方法。最近有几项研究表明，在矩形针或$k$ -聚体的RSA中，如果针足够长（$k$的数量级为几千），则在正方形晶格上的渗滤是不可能的。我们驳斥了这些说法，并提出了一个严格的证明，在任何拥挤的配置不重叠，固定长度，水平或垂直针的正方形晶格，所有的集群是deletating集群。
英文摘要：
Random sequential adsorption (RSA) is a standard method of modeling adsorption of large molecules at the liquid-solid interface. Several studies have recently conjectured that in the RSA of rectangular needles, or $k$-mers, on a square lattice the percolation is impossible if the needles are sufficiently long ($k$ of order of several thousand). We refute these claims and present a strict proof that in any jammed configuration of nonoverlapping, fixed-length, horizontal or vertical needles on a square lattice, all clusters are percolating clusters.
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