Phenomenology of Reaction-diffusion Binary-State Cellular Automata

We study a binary-cell-states eight-cell neighborhood two-dimensional cellular automaton model of a quasi-chemical system with a substrate and a reagent. Reactions are represented by semi-totalistic transitions rules: every cell switches from state 0 to state 1 depending on if sum of neighbors in state 1 belongs to some specified interval, cell remains in state 1 if sum of neighbors in state 1 belong to another specified interval. We investigate space-time dynamics of 1296 automata, establish morphology-bases classification of the rules, explore precipitating and excitatory cases and scrutinize collisions between mobile and stationary localizations (gliders, cycle life and still life compact patterns). We explore reaction-diffusion like patterns produced in result of collisions between localizations. Also, we propose a set of rules with complex behavior called Life 2c22.

• Type: Journal
• Year: 2006
• Where: IJBC
• Authors: Andrew Adamatzky, Genaro Juárez Martínez, Juan Carlos Seck Tuoh Mora
• Keywords: Binary-cell-states Eight-cell Neighborhood, IJBC 2006, Semi-totalistic Transitions Rules, Two-dimensional Cellular Automaton