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 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 ≈ 1.64, but that the trend gradually declines towards lower saturation levels at higher . 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 ≈ 1.7 and reaches value of 0.55808 ± 0.00029. We fitted a quadratic relationship to represent this connection where was limited to region of 1.2 < < 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.

中文翻译：

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检查具有三个不同方向的各向异性粒子的饱和覆盖度

我们使用了一种称为随机顺序吸附（RSA）的时间相关填充方法，用没有重叠的矩形填充二维连续空间；此后，我们使用新采用的策略来达到严格的饱和保压条件。本研究中使用的矩形以两个或三个随机选择的方向（0、45 和 90 度）定向，研究集中于正方形及其具有不连续纵横比的各向异性对应物的平均饱和堆积（或干扰覆盖范围）范围从 1 到 9。当传统 RSA 无法达到饱和并且变得太慢时，我们采用了严格饱和的方法。在这里，我们报告说，增加矩形的纵横比首先将饱和度增加到 0.59908 ± 0.00084 饱和密度（约 1.64），但趋势逐渐下降到更高的饱和度水平。将颗粒旋转自由度限制为 0、45 和 90 时观察到类似的趋势，但平均饱和堆积峰值在 ≈ 1.7 处，达到 0.55808 ± 0.00029 的值。我们拟合了一个二次关系来表示这种连接，其范围仅限于 1.2 < < 2.2 的区域；此外，还仔细检查了块功能和布局矩形的结构组织，以及由此产生的饱和度的微观结构。由于排除辅助装箱过程，此处给出的结果是准确的。