Dresden 2006 – wissenschaftliches Programm
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AKB: Biologische Physik
AKB 40: Poster Session II
AKB 40.10: Poster
Mittwoch, 29. März 2006, 16:30–19:30, P3
Topological correlations enhance pattern formation in reaction-diffusion processes on scale-free networks — •Sebastian Weber1, Marc-Thorsten Hütt2, and Markus Porto1 — 1Institut für Festkörperphysik, Technische Universität Darmstadt, Hochschulstr. 8, 64289 Darmstadt, Germany — 2Theoretische Biologie und Bioinformatik, Technische Universität Darmstadt, Schnittspahnstr. 3, 64287 Darmstadt, Germany
We study the reaction-diffusion processes A + A → ∅ and A + B → ∅ on uncorrelated, disassortative, and assortative scale-free networks. A method to suitably compare the pattern formation on these different networks is developed. We apply this method to quantify the residual pattern formation occurring on uncorrelated networks. The analogous analysis of disassortative and assortative networks shows that degree correlations substantially alter the dynamical behavior and that such topological correlations yield an enhanced pattern formation.
[1] S. Weber, M.-Th. Hütt, and M. Porto (submitted)