凝结核对DLA的分形维影响

The DLA Fractal Dimensions for Different Aggregation Kernels

本文推广了经典DLA模型．经典DLA模型的凝结核是一个点，本文将凝结核扩充为正方形、圆、线段等情形，得到了相应的分支结构图及盒维数．结果表明分支结构图是不同的，但分形维是相近的。

In the classical DLA model[1] the aggregation kernel is a single point and the corresponding dimension is 1.66. The problem is, when the kernel is changed, how the dimension changes. This paper answers the question. When the kernel is changed to circle, square or line there are corresponding figures and dimensions. The result shows that DLA figures are different and the dimensions are sindlar.