Morphogenesys of Patterns Formed by Electrodeposition

E. J. Suárez-Domínguez; E. Izquierdo-Kulich; E. Tejera; J. A. Llanos-Pérez; L. I. Ledesma-Fosados; J. A. Betancourt-Mar; R. Quintana; J. M. Nieto-Villar

E. J. Suárez-Domínguez Laboratorio UNE-SAS, Universidad del Noreste, Tampico, México
E. Izquierdo-Kulich Dpto. de Ing. Química. Fac. de Ing. Química, Inst. Superior Politécnico ISPJAE
E. Tejera Dpto. de Química-Física, Fac. de Química, Universidad de La Habana
J. A. Llanos-Pérez Laboratorio UNE-SAS, Universidad del Noreste, Tampico, México
L. I. Ledesma-Fosados Laboratorio UNE-SAS, Universidad del Noreste, Tampico, México
J. A. Betancourt-Mar Laboratorio UNE-SAS, Universidad del Noreste, Tampico, México
R. Quintana Dpto. de Química-Física, Fac. de Química, Universidad de La Habana
J. M. Nieto-Villar Dpto. de Química-Física, Fac. de Química, Universidad de La Habana & Cátedra de Sistemas Complejos H. Poincaré, Universidad de La Habana, Cuba

Abstract

It was made an analysis of the pattern dynamics of zinc electrodeposition at two constant current values (3,0 and 10,3 mA). The experimental results show damped oscillations in fractal dimension that converge to a constant value of D₀ ≅ 1.7. In fact, we found a similar phenomenology in a simulated DLA (Diffusion Limited Aggregation) growth process. The mesoscopic model proposed allows us to get a better insight of the pattern formation dynamic morphogenesis. In this sense, this stochastic formalism makes possible not only to reproduce but also to understand the observed physical complexity. An important characteristic of the formalism developed here is that a discrete equation is obtained. This equation allows us to reproduce the phenomenological results obtained. These results support the hypothesis that the observed complexity of patterns is related with its multifractal nature.