Dresden 2009 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 26: Poster II

DY 26.17: Poster

Donnerstag, 26. März 2009, 16:00–18:00, P1A

Significant morphological differences between experimental and simulated Turing patterns — •Christian Scholz, Stephanie Häffner, Klaus Mecke, and Gerd E. Schröder-Turk — Institut für Theoretische Physik, Universität Erlangen, Germany

Systems of deterministic reaction-diffusion equations with suitable reaction terms are widely accepted as models for chemical Turing patterns. These models reproduce the stripe and hexagonal patterns found in chemical reaction-diffusion systems with correct length scales. However, here we show that there are distinct differences in the functional form of the concentration profiles observed in numerical solutions of the reaction-diffusion models (Brusselator and Lengyel-Epstein model) and those observed in the experimental Chlorite-Iodide-Malonic Acid (CIMA) reaction. These qualitative differences of the concentration profiles are conveniently characterised by Minkowski functionals, as described in [1]. We also show that these morphological differences persist when introducing additive noise into the reaction diffusion equation.

- [1] K. Mecke, Morphological characterization of patterns in reaction-diffusion systems, Phys. Rev. E 53 53, 4794 (1996)