Localization Dynamics in a Binary Two-dimensional Cellular Automaton: the Diffusion Rule
Genaro J. Martínez, Andrew Adamatzky and Harold V. McIntosh
We study a two-dimensional cellular automaton (CA), called Diffusion Rule (DR), which exhibits diffusion-like dynamics of propagating patterns. In computational experiments we discover a wide range of mobile and stationary localizations (gliders, oscillators, glider guns, puffer trains, etc), analyze spatio-temporal dynamics of collisions between localizations, and discuss possible applications in unconventional computing.
Keywords: Cellular automata, Diffusion Rule, semi-totalistic rules, particle collisions, mean field theory, reaction-diffusion, unconventional computing.