The Generation of
Dissipative Quasi-Particles near Turing's Bifurcation in
Three-Dimensional Reaction-Diffusion Systems
A. W. Liehr, M. Bode and H.-G. Purwins
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.
This article has been published in the book
High
Performance Computing in Science and Engineering 2000. Transactions of the
High Performance Computing Center, Stuttgart (HLRS) 2000 , which was edited by E. Krause and W. Jäger.
It can be downloaded in Acrobat-Reader-Format with kindly acceptance of Springer-Verlag. The copyright remains at the publisher.
2001/09/20, Andreas W. Liehr
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