This work is a systematic computational study of random and ballistic deposition (BD) in 1+1 dimension for deposition of two differently shaped particles. The effect of particle shape and size on different growth parameters has been reported. It has been observed that when the shape of the particle gets changed, the surface that evolves following the mechanism of random deposition (RD) model shows acute correlation effect. The growth appeared with two regions along with saturation with two acutely different slopes, one of which is around 0.5 and, other is nearly 0.33. This shows that initially, the deposition obeys the RD model, while when particle shape changes correlation gets introduced, the deposition mechanism obeys the law of BD. Same when applied in the case of BD, it had been observed that introduction of this artificial correlation introduces another region in the growth regime separating the entire regime into three parts along with saturation. In each case, different critical exponents were calculated along with the other associated parameters like porosity, growth velocity, etc. Also, it has been shown that porosity has profound effect on size and shape of the particle deposited and it varies between 0 and 0.5 for the surfaces evolved by RD model whereas the same has value between 0.75 and 0.6 in the case of BD.

中文翻译：

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1+1 维随机沉积中颗粒形状诱导的相关效应和弹道沉积中的相关效应

这项工作是对 1+1 维随机和弹道沉积 (BD) 的系统计算研究，用于沉积两种不同形状的颗粒。已经报道了颗粒形状和尺寸对不同生长参数的影响。已经观察到，当颗粒的形状发生变化时，遵循随机沉积（RD）模型机制演变的表面表现出强烈的相关效应。增长出现两个区域，同时饱和度有两个明显不同的斜率，其中一个在 0.5 左右，另一个接近 0.33。这表明，最初，沉积遵循RD模型，而当引入颗粒形状变化相关性时，沉积机制遵循BD定律。在 BD 的情况下应用时相同，已经观察到，这种人为相关性的引入在增长状态中引入了另一个区域，将整个状态与饱和度一起分成三个部分。在每种情况下，都计算了不同的临界指数以及其他相关参数，如孔隙率、生长速度等。此外，已经表明孔隙率对沉积颗粒的尺寸和形状有深远的影响，它在 0 和 0.5 之间变化RD 模型演变的表面，而在 BD 的情况下，相同的值在 0.75 和 0.6 之间。