Dresden 2006 – wissenschaftliches Programm

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DY: Dynamik und Statistische Physik

DY 46: Poster

DY 46.40: Poster

Donnerstag, 30. März 2006, 16:00–18:00, P1

Relation between drift-diffusion and reaction diffusion systems — •Sh. Amiranashvili, S. V. Gurevich, and H.-G. Purwins — Institute of Applied Physics, WWU Münster, Corrensstr. 2-4, 48149, Münster, Germany

We deal with a three-component transport equation that currently is used in gas-discharge and other electrical transport systems. We discuss the behavior of this system on the long time scale. Instead of directly solving the equation we introduce an asymptotical multi-scale expansion to reduce the system to a simpler one. The latter belongs to the class reaction-diffusion systems and is much more simpler to analyze and implement numerically. Direct comparison of the available numerical solutions for the two systems shows that the approximation works perfectly good. Thereafter we apply the simpler system to describe physical phenomena in gas discharge. Nowadays these phenomena hardly can be directly calculated in the framework of the original equations. The presented work lays the foundation for the universal behavior of patterns observed in electrical transport systems and reaction-diffusion systems.