How fast do structures emerge in hypercycle-systems?

Details How fast do structures emerge in hypercycle-systems? How fast do structures emerge in hypercycle-systems?

1998-06-05

arxiv.org/abs/adap-org/9806003v1

Nonlinear Sciences

Adaptation and Self-Organizing Systems

11 pages, 13 postscript figures, accepted for publication in the GWAL98 proceedings

Scientific paper

A general framework for the simulation of reaction-diffusion systems with probabilistic cellular automata is presented. The basic reaction probabilities of the chemical model translate directly into the transition rules of the automaton, thus allowing a clear comparison between simulation results and analytic calculations. This framework is then applied to simulations of hypercycle-systems in up to three dimensions. Furthermore, a new measurement quantity is introduced and applied to the hypercycle-systems in two and three dimensions. It can be shown that this quantity can be interpreted as a measure for the macroscopic order of the hypercycle systems.

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