Examination of saturation coverage of anisotropic particles with three distinctive orientations

Abstract

We used a time-dependent packing approach called random sequential adsorption (RSA) to fill a 2-D continuum space with rectangles without overlap; thereafter, we used our newly adopted strategy to attain strictly saturated condition of packing. The rectangles utilised in this study were oriented in two or three randomly selected orientations (0, 45 and 90 degrees), and the study was centered on the mean saturation packing (or alternatively jamming coverage) of squares and their anisotropic counterpart with discontinuous aspect ratio ranging from 1 to 9. We employed exclusion assisted packing to achieve rigorous saturation when traditional RSA failed to achieve saturation and became too slow. Here, we report that increasing aspect ratio of rectangles first increase saturation to 0.59908 ± 0.00084 saturation density at α ≈ 1.64, but that the trend gradually declines towards lower saturation levels at higher α. Similar trend was observed for confining the degree of freedom of rotation of particles to 0, 45 and 90 however mean saturation packing peaked at α ≈ 1.7 and reaches value of 0.55808 ± 0.00029. We fitted a quadratic relationship to represent this connection where α was limited to region of 1.2 < α < 2.2; moreover, the block function and the structural organization of the laid- out rectangles were carefully examined, as well as the micro structure of the resulting saturation. Because of the process of exclusion assisted packing, the results given here are exact.