Turing Instability in an Electrodeposition Morphogenesis Model: An Analytical, Numerical and Experimental Study

In the present paper we shall focus on the coupling between surface morphology and surface composition, as a means of understanding the formation of morphological patterns found in electrodeposition (ECD) and, prospectively, as a control strategy of ECD morphology based on manipulations of the surface chemistry (in terms of additive adsorption at the growing cathode). The relevant mathematical background is that of reaction‐diffusion systems: the discussion will be restricted to the case of a single reaction‐diffusion equation for one chemical species adsorbed at the surface of the growing cathode and source terms for both the “chemical” and the “morphological” equations of a simple form. We investigate on the dynamics and we show the arising of spatial patterns induced by diffusion which qualitatively match results found in the experiments.