Particle Cellular Automata
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Related Articles from SNS
Three-dimensional Fundamental Diagrams of Five-neighbor Particle Cellular Automata
arXiv:2606.08972v1 Announce Type: new Abstract: We analyze five-neighbor particle cellular automata whose conventional two-dimensional fundamental diagrams are multivalued, but whose mean flow is uniquely determined by introducing a second density. We first consider binary rules for which the second density is conserved, and then examine rules for which the second density is not conserved but converges asymptotically. These examples give three-dimensional fundamental diagrams in which the...