2023/07/31 by Redeker, Markus
#37B15 (Primary) 06D99 (Secondary) #Cellular Automata and Lattice Gases (nlin.CG) #F.1.1 #FOS: Physical sciences
paper · doi:10.48550/arxiv.2308.00060
Number-conserving cellular automata are discrete dynamical systems that simulate interacting particles like e.g. grains of sand. In an earlier paper, I had already derived a uniform construction for all transition rules of one-dimensional number-conserving automata. Here I describe in greater detail how one can simulate the automata on a computer and how to find interesting rules. I show several rules that I have found this way and also some theorems about the space of number-conserving automata.