各向异性粒种沉积的分形性质研究

Fractal Property of Diffusion Deposition with Particle Seed

通过计算机仿真模拟,研究了各向异性粒种扩散沉积集团的维数与多重分形谱。研究结果表明,各向异性粒种扩散沉积集团具有随机分叉、开放的结构,明显的多重分形性质。集团的维数与质量分布非均匀性随着各向异性的增加而增加。

This paper presents a computer model of anisotropic diffusion deposition with particle seed. The deposition clusters with varying probability of jumping are simulated, and their pattern structure, fractal dimension and muhifractal spectrum are obtained. The simulation results show that the pattern structures have obvious difference between the isotropy diffusion deposition clusters and anisotropic clusters. And with the difference of probability of jumping along the vertical direction increased, the patterns become thicker and denser, while the fractal dimension D increases. Furthermore, the muhifractal spectra f（α） curve becomes higher and the range of singularity α gets wider. The larger the difference of probability of jumping is, the more irregular and nonuniform the pattern becomes.