Quasi-Particles in a Three-Dimensional Three-Component Reaction-Diffusion System
C. P. Schenk, A. W. Liehr, M. Bode and H.-G. Purwins
We investigate a reaction-diffusion system which consists of a set
of three partial differential equations. Due to the reaction
kinetics the system can be referred to as a
1-activator-2-inhibitor system. We show, that such systems are
capable of supporting localized moving structures, so called
quasi-particles. For certain parameters it is possible to predict
the propagation speed of these solutions as well as their
behaviour in scattering processes. In more general cases we have
carried out simulations which reveal different scattering results
depending on the parameters. We find annihilation, reflection and
merging of particles.
This article has been published in the book High
Performance Computing in Science and Engineering '99. Transactions of the
High Performance Computing Center, Stuttgart 1999 , 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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