Regensburg 2007 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 30: Poster II

DY 30.14: Poster

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

Multicomponent reaction-diffusion processes on complex networks — •Sebastian Weber and Markus Porto — Institut für Festkörperphysik, Technische Universität Darmstadt, Hochschulstr. 8, 64289 Darmstadt, Germany

We study the reaction-diffusion process A + B → ∅ on uncorrelated scale-free networks analytically [1]. By a mean-field ansatz we derive analytical expressions for the particle pair-correlations and the particle density. Expressing the time evolution of the particle density in terms of the instantaneous particle pair-correlations, we determine analytically the ‘jamming’ effect which arises in the case of multicomponent, pair-wise reactions. Comparing the relevant terms within the differential equation for the particle density, we find that the ‘jamming’ effect diminishes in the long-time, low-density limit. This even holds true for the hubs of the network, despite that the hubs dynamically attract the particles.

[1] S. Weber and M. Porto, Phys. Rev. E 74, 046108 (2006).