Regensburg 2007 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 30: Poster II

DY 30.41: Poster

Donnerstag, 29. März 2007, 16:00–18:00, Poster D

Lattice Gas Simulation of Liesegang Pattern Formation in Glass — •Lukas Jahnke and Jan Werner Kantelhardt — Institute of Physics, Martin-Luther-Universität Halle-Wittenberg, 06099 Halle (Saale), Germany

Liesegang patterns are a self-organized quasi-periodic structuring that occurs in diffusion-limited chemical reactions with two components. A wide range of mean-field theories based on differential equations exists, and they describe the basic properties of the pattern formation. In recent experiments (Mohr et. al., 2000), where silver nanoparticles in glass are generated behind a moving hydrogen front, Liesegang patterns also emerge. Due to the mesoscopic character of these experiments the mean field approaches do not seem to be fully adequate. Alternatively, the microscopic reaction-diffusion process can be modelled by Monte-Carlo simulations in a lattice gas approach (Chopard et. al., 1994). We present simulation results going beyond the mean field approch for parameters inside and outside the pattern formation regime. We also discuss the stability of the patterns and possible modifications of the process that might help to obtain photonic crystals.