CAJ | 학술논문

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。
아문이용전화학침적법제비득도구유분형결구적이유금속자지정，분석료양겁전겁형상급츤저재료등실험삼수대기생장적영향。장실험획득적분형도편경 MATLAB 처리득도이치화분형결구，병가유연건 Fractal - Fox 획취기분형유수。분별기우확산한제응취생장（DLA）모형화포랑열운동모형，가이이용 MATLAB 연건모의획득료각실험삼수대우분형결구적영향。아문장포랑수궤인자인입분형결구생장적물리분석중，종합굉관화미관리적분형현상，분석료분형결구적생장궤리。
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.