Deterministic cellular automata resembling diffusion

In this paper, we investigate number-conserving cellular automata with up to five inputs and two states the goal of comparing their dynamics diffusion. For purpose, introduce concept decompression ratio describing expansion configurations finite support. We find that a large number rules exhibit abrupt change in when density initial pattern is increasing, somewhat analogous second-order phase transition. The existence transition formally proved for rule 184. Small infinite ratio, such may be useful “engineering” CA which are good models diffusion, although they will most likely require more than states.