Reaction-Diffusion System

Reaction–diffusion systems are mathematical models which correspond to several physical phenomena. The most common is the change in space and time of the concentration of one or more chemical substances: local chemical reactions in which the substances are transformed into each other, and diffusion which causes the substances to spread out over a surface in space.

How it works: Two virtual chemicals (labeled A and B) interact:

• Chemical A is continuously added to the system
• Chemical B is removed at a constant rate
• When A and B meet, A converts into B (the reaction)
• Both chemicals spread out over time (diffusion)

Watch as these simple rules create complex, organic patterns resembling: coral growth, zebra stripes, leopard spots, and other natural formations. The patterns emerge from the delicate balance between reaction rates and diffusion speeds.