Análisis estocástico de la dimensión fractal en electrodeposición de zinc en capa delgada

Abstract

From a mesoscopic modeling electrodeposition process in a thin layer cell, we propose a stochastic model that relates the expected value of the area fraction occupied by zinc particles formed during electrodeposition and the fractal dimension of the pattern formed. Experiments were conducted at constant voltage in a circular cell with a cathode as a center point. It was found that the predictions made by our model are in keeping with experimental results obtained and reported in literature, showing that the fractal dimension increases with the initial concentration of zinc ions to a certain limit from which~ it then decreases. This behavior is explained through the proposed model taking into account the mechanism that determines pattern formation.