可变粒子的二组元有限扩散凝聚集团的多重分形谱

Multifractal spectrum of the two-component DLA cluster with variable particles

采用蒙特卡罗方法,模拟了可变粒子的二组元有限扩散凝聚(DLA)集团。获得了二组元DLA集团的斑图结构,计算了二组元DLA集团的分维和多重分形谱,结果表明:加入少量的大粒子,二组元DLA各向异性的结构变得更加明显,而当大粒子浓度上升到一定程度时,二组元DLA斑图结构趋于一组元DLA,当大粒子浓度等于100%时,两组元DLA斑图结构与一组元DLA一样;随着大粒子浓度的上升,多重分形谱的谱宽Δα=αmax-αmin先达到一个最大值,然后随着浓度的继续增加而下降,最后接近一组元DLA的谱宽。

In this paper, the two-component DLA cluster is simulated by Monte Carlo method. The fractal dimension and multifractal spectrum are calculated. The results show： when putting a few large particles into the cluster, the anisotropic, structure of the two-component DLA becomes more obvious, but when the concentration of large particles rises to certain degree, the structure of two-component DLA is very similar to one-component DLA; simultaneously, with the rising of the concentration of large particles, the width of multifractal spectrum Δ α = α max- α min achieves first a maximum value, then decreases along with the density continuous increases, and finally approaches the width of multifractal spectrum of one-component DLA.