Rule 184, a simple one-dimensional cellular automaton where cells move left or stay put based on local configuration, exhibits second-order phase transitions in block probabilities as a function of initial density when extended to infinite systems, with the probability of '11' blocks discontinuous at density 0.5 in the derivative but continuous in value

factualpending

Speaker

Henrik Fog

Evidence Quote

if i plot probability of occurrence of one one after any iteration against density... and after infinitely many iterations it converges to this piecewise linear function... something which looks like a second order face transition

Source

Distributed Consensus with Cellular Automata & Related Systems Research ConferenceWolfram
Created: 8/10/2026, 11:10:13 PM

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