2001 | OriginalPaper | Chapter
The Generation of Dissipative Quasi-Particles near Turing’s Bifurcation in Three-Dimensional Reacting Diffusion Systems
Authors : Andreas W. Liehr, Mathias Bode, Hans-Georg Purwins
Published in: High Performance Computing in Science and Engineering 2000
Publisher: Springer Berlin Heidelberg
Included in: Professional Book Archive
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In order to model pattern formation processes in a dc driven semiconductor-gas discharge system on a phenomenological level, we investigate a three-component reaction-diffusion system of 1-activator-2-inhibitor-type. The solutions of this system show localized moving and stationary structures which interact by scattering, annihilation or more complex scenarios. Because of this particle-like behaviour the structures are called dissipative quasi-particles. This work deals with the generation mechanism of dissipative quasi-particles related to Turing’s destabilisation of homogeneous states. Two- and three-dimensional simulations are shown and in the two-dimensional case compared with experimental results.