Abstract We use Monte Carlo simulation to study the spatiotemporal behavior of thin films generated by low kinetic energy cluster particles. To this end, two models are employed to investigate the effects of clusters’ shapes and their diffusion ability on the surface. In the first model, clusters are considered as a string of particles with unit height and non-unit length. The growth process in this model is implemented based on Random Deposition with Surface Relaxation (RDSR) model where particles can diffuse on the surface. The second model studies deposition of porous clusters with different shapes according to Random Deposition (RD) model. According to previous studies, the deposition of unit size particles based on RD model leads to a random growth. Using the RDSR model the phenomenon is observed to be under the Edward-Wilkinson universality class. Our results for both models reveal that using cluster particles with non-unit size gives rise to a porous medium which changes the universality class of models to Kardar-Parizi-Zhang (KPZ) by scaling exponents β = 0.3 and α = 0.5 .

中文翻译：

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簇粒子的表面生长：扩散和簇形状的影响

摘要 我们使用蒙特卡罗模拟来研究由低动能簇粒子产生的薄膜的时空行为。为此，采用两个模型来研究簇的形状及其在表面上的扩散能力的影响。在第一个模型中，簇被认为是一串具有单位高度和非单位长度的粒子。该模型中的生长过程是基于具有表面松弛的随机沉积 (RDSR) 模型实现的，其中粒子可以在表面上扩散。第二个模型根据随机沉积 (RD) 模型研究不同形状的多孔簇的沉积。根据之前的研究，基于 RD 模型的单位尺寸颗粒的沉积导致随机生长。使用 RDSR 模型，可以观察到该现象属于 Edward-Wilkinson 普遍性类别。我们对两种模型的结果表明，使用具有非单位尺寸的簇粒子会产生多孔介质，通过缩放指数 β = 0.3 和 α = 0.5 将模型的通用性类别更改为 Kardar-Parizi-Zhang (KPZ)。