Diffusion-limited aggregation on Penrose lattices
Zhengyou Liu; Youyan Liu; Decheng Tian; Haibo Xia; Qing Jiang; Zhengyou Liu; Dept. of Phys., South China Univ. of Technol., Guangzhou, China; Youyan Liu; Dept. of Phys., South China Univ. of Technol., Guangzhou, China; Decheng Tian; Dept. of Phys., South China Univ. of Technol., Guangzhou, China; Haibo Xia; Dept. of Phys., South China Univ. of Technol., Guangzhou, China; Qing Jiang; Dept. of Phys., South China Univ. of Technol., Guangzhou, China
Журнал:
Journal of Physics: Condensed Matter
Дата:
1994-05-30
Аннотация:
We simulated the diffusion-limited aggregation (DLA) on a pentagonal lattice and on an octagonal lattice; the fractal dimensions of the DLA on these two lattices are found to be 1.53 and 1.57 respectively, exhibiting a weak lattice dependence. We also calculate the vibrational densities of states for the two DLA clusters; the fracton dimensions of the two DLA clusters appear to follow d<sub>s</sub>=2d<sub>f</sub>/(d<sub>f</sub>+1).
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