摘要
我们利用电化学沉积法制备得到具有分形结构的二维金属锌枝晶，分析了阳极电极形状及衬底材料等实验参数对其生长的影响。将实验获得的分形图片经 MATLAB 处理得到二值化分形结构，并可由软件 Fractal - Fox 获取其分形维数。分别基于扩散限制凝聚生长（DLA）模型和布朗热运动模型，可以利用 MATLAB 软件模拟获得了各实验参数对于分形结构的影响。我们将布朗随机因子引入分形结构生长的物理分析中，综合宏观和微观里的分形现象，分析了分形结构的生长机理。
Two - dimensional zinc dendrite with fractal structure was prepared by electrolysis of zinc sulfate. Some experimental factors,such as electrode shape and substrate,were analyzed which could affect the growth of fractal structure. The photos of zinc dendrite were processed into evident fractal structures by binarization using MATLAB,and their fractal dimension were calculated by Fractal - Fox software. The fractal structures were also simulated based on the models both of Diffusion - Limited Aggregation（DLA）and Brownian movement. We further introduced the Brownian random factor into the physical analysis of the growth of fractal structure. By comparing the fractal structure appeared macroscopically and microscopically,we obtained the physical mechanism for the growth of fractal dendrite.
出处
《山东师范大学学报（自然科学版）》
CAS
2015年第3期77-82,90,共7页
Journal of Shandong Normal University(Natural Science)
基金
哈尔滨工业大学（威海）“大学物理精品课建设”基金（2012年）资助项目
“大学物理实验教学与创新”基金（IMIQ10110010）资助项目
山东省研究生教育创新计划基金（SDYY12005）资助项目
哈尔滨工业大学（威海）大学生科技创新基金资助项目
哈尔滨工业大学（威海）研究生双语教学研究基金（WH2013014）资助项目.
关键词
电化学沉积
二维金属锌枝晶
分形结构生长机理
Electro - chemical deposition
two - dimensional metallic dendrite
physical mechanism for fractal structure
