Periods and clusters in Ising cellular automata
H.J. Hermann, Hans-Otto Carmesin, Dietrich Stauffer · Journal of Physics A Mathematical and General · 1987
The dynamic properties of Q2R cellular automata for the Ising model are studied numerically on the square lattice, with particular emphasis on the periods observed for single spins, clusters of neighbouring spins and the whole lattice. The authors find some numerical indications for a 'cluster-period critical point' at a temperature below the Curie temperature of the Ising magnet.