利用计算机模拟颗粒自然堆积过程的数学分析

Mathematical Analysis of Computer Simulation for the Particle Accumulation Process

具有一定粒径分布的非均匀颗粒自由下落所形成的散体结构具有分形特征。为采用计算机模拟颗粒的自然堆积过程，以获得散体结构的分形特性，文中从数学角度分析了自然堆积过程的随机性，给出了分形界面平衡位置的确定方法。所生成的随机函数和确定平衡位置的方法具有普遍意义。

So called bulk materials, which refers to an assembly of tremendous number of non-equigranularsolid particles with certain size distribution by random deposition, behave like the fractal structure characteristics.In order to simulate the natural accumulating process of the particles by a computer and depict the fractal structureof bulk material, the stochastic process of the particle accumulation is analyzed mathematically. The approachto define the equilibrium position of the fractal interface is given. All of the proposed methods and the resultsof it in this paper may be applied in a wide area.