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DY: Fachverband Dynamik und Statistische Physik

DY 17: Reaction-diffusion systems

DY 17.4: Talk

Wednesday, March 25, 2009, 15:30–15:45, ZEU 118

Equidistant band formation in a precipitation process — •Lukas Jahnke and Jan W. Kantelhardt — Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, 06099 Halle, Germany

Abstract: In bottom-up pattern formation approaches one aims at designing materials with nano- or microscopic 2d or 3d patterns for specific applications. We study theoretically the 3d Liesegang pattern formation process, which is based on diffusion and reactions with a nucleation threshold. It usually yields banded structures with increasing inter-band distances. We find that equidistantly spaced bands can evolve if a gradient of the nucleation threshold or a gradient in the nucleation threshold fluctuations (due to heterogeneities) are imposed on the sample. Using extended lattice gas simulations of the reaction-diffusion process we confirm the equidistant band formation. We propose experimental strategies for 3d grids of silver nano-particles in a glass matrix. Ref.: Jahnke and Kantelhardt, EPL 84 (2008) 48006.