Equidistant band formation of precipitation in a reaction-diffusion process

Physics

Scientific paper

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Scientific paper

We study precipitation patterns occurring in diffusion-limited reactions, focusing on Liesegang bands. Naturally, these patterns are non-equidistantly spaced, and thus less useful for bottom-up material design. However, we show how a continuous large-scale modification of the inhomogeneity of the substrate and/or the nucleation threshold can be used to obtain equidistantly spaced bands on small length scales. We confirm our suggestions by lattice-gas simulations and propose an iterative experimental procedure not requiring a priori knowledge of parameters. We discuss the feasibility for glass substrates modified by irradiation with femtosecond laser pulses.

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