Random sequential adsorption of partially oriented linear k-mers on a square lattice.
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.
Institute of Biocolloidal Chemistry named after FD Ovcharenko, NAS of Ukraine, 42 Boulevard Vernadskogo, 03142 Kiev, Ukraine. lebovka@gmail.com
Nikolai I
NI
Lebovka
Natalia N
NN
Karmazina
Yuri Yu
YY
Tarasevich
Valeri V
VV
Laptev
D000327:Adsorption; D016880:Anisotropy; D008958:Models, Molecular; D008968:Molecular Conformation; D011336:Probability