Dendritic and Fractal Patterns in Electrolytic Metal Deposits

作者：Yasuji Sawada, Andrew Dougherty, J. P. Gollub · 发表于：Physical Review Letters · 年份：1986 · DOI：10.1103/physrevlett.56.1260 · 被引用次数：563 · 研究领域：Theoretical and Computational Physics、Nonlinear Dynamics and Pattern Formation、Fluid Dynamics and Thin Films

Pattern formation in the electrodeposition of Zn from a thin layer of ZnS${\mathrm{O}}_{4}$ solution was studied as a function of electrolyte concentration and applied voltage. We found several qualitatively different growth forms in this system. Most strikingly, a transition from dendritic crystals (where crystalline anisotropy dominates) to disordered ramified patterns is found when the electrolyte concentration is reduced. The disordered patterns may be described as fractal below a concentration-dependent cutoff length.