Fractal Stabilization and Stochastic Modeling of Zinc Electrodeposition Structures in Thin Plates

Thin-layer electrodeposition has been studied to involve complex branched morphologies, useful for different industrial processes. In this work, it was studied the electrodeposition of Zinc for a constant Zn2+ concentration and two currents, 3mA and 10.3mA. The electrodeposition test was carried out in a thin circular layer, analyzing the variation of the massradius fractal dimension over time and the different radius of the deposits formed. The study was focused on the fractal dimension stabilization analysis and the mathematical modeling of this parameter through the stochastic methodology. It was found that the fractal dimension stabilizes depending on the radius studied and becomes constant over time. The stochastic model proposed involves the radius of the deposit and the electrodeposition time. The model predicts the fractal dimension value with a correlation of 61.43% for the highest current value, which is an indication that the faster deposition velocity produces a more stable fill-up effect of the spaces in the deposition surface.