Lebovka Nikolai I, Karmazina Natalia N, Tarasevich Yuri Yu, Laptev Valeri V
Institute of Biocolloidal Chemistry named after FD Ovcharenko, NAS of Ukraine, 42 Boulevard Vernadskogo, 03142 Kiev, Ukraine.
Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Dec;84(6 Pt 1):061603. doi: 10.1103/PhysRevE.84.061603. Epub 2011 Dec 16.
Jamming phenomena on a square lattice are investigated for two different models of anisotropic random sequential adsorption (RSA) of linear k-mers (particles occupying k adjacent adsorption sites along a line). The length of a k-mer varies from 2 to 256. The effect of k-mer alignment on the jamming threshold is examined. For completely ordered systems where all the k-mers are aligned along one direction (e.g., vertical), the obtained simulation data are very close to the known analytical results for one-dimensional systems. In particular, the jamming threshold tends to the Rényi's parking constant for large k. In the other extreme case, when k-mers are fully disordered, our results correspond to the published results for short k-mers. It was observed that for partially oriented systems the jamming configurations consist of the blocks of vertically and horizontally oriented k-mers (v and h blocks, respectively) and large voids between them. The relative areas of different blocks and voids depend on the order parameter s, k-mer length, and type of the model. For small k-mers (k⩽4), denser configurations are observed in disordered systems as compared to those of completely ordered systems. However, longer k-mers exhibit the opposite behavior.
针对线性k聚体（沿直线占据k个相邻吸附位点的粒子）的两种不同各向异性随机顺序吸附（RSA）模型，研究了正方形晶格上的阻塞现象。k聚体的长度从2变化到256。研究了k聚体排列对阻塞阈值的影响。对于所有k聚体都沿一个方向（例如垂直方向）排列的完全有序系统，所获得的模拟数据与一维系统的已知解析结果非常接近。特别是，对于大的k，阻塞阈值趋向于雷尼停车常数。在另一个极端情况下，当k聚体完全无序时，我们的结果与已发表的关于短k聚体的结果一致。据观察，对于部分取向的系统，阻塞构型由垂直取向和水平取向的k聚体块（分别为v块和h块）以及它们之间的大空隙组成。不同块和空隙的相对面积取决于序参量s、k聚体长度和模型类型。对于小的k聚体（k⩽4），与完全有序系统相比，无序系统中观察到更致密的构型。然而，较长的k聚体表现出相反的行为。
