Regensburg 2010 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 30: Posters II
DY 30.35: Poster
Thursday, March 25, 2010, 16:00–18:00, Poster C
A Statistical Model for Turing Patterns in Chemical Reaction Diffusion Systems — •Christian Scholz1, Klaus Mecke2, and Gerd E. Schröder-Turk2 — 12. Physikalisches Institut, Universität Stuttgart, Germany — 2Institut für Theoretische Physik, Universität Erlangen, Germany
The Lengyel-Epstein (LE) model is a system of reaction-diffusion equations, which is widely accepted to reproduce the stationary stripe and hexagonal Turing Patterns observed in the Chlorite-Iodide-Malonic Acid (CIMA) reaction with correct length scales. However the turbulent patterns identified in the CIMA reaction are not reproduced by the LE model. Additionally a morphological analysis via Minkowski functionals, as described in [1], reveals qualitative differences in the functional form of the concentration profiles observed in numerical solutions of the LE model and those observed in the CIMA reaction. Here we present an extended model based on the statistical superposition of basic LE patterns, which reproduces the morphology of stationary and for the first time also turbulent patterns. [1] K. Mecke, Morphological characterization of patterns in reaction-diffusion systems, Phys. Rev. E 53, 4794 (1996)