P. Alstrom et J. Leao, SELF-ORGANIZED CRITICALITY IN THE GAME OF LIFE, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 49(4), 1994, pp. 180002507-180002508
The question of saturation of self-organized criticality in the ''game
of Life'' is analyzed through finite-size scaling. We have carried ou
t connection-machine simulations for lattices up to 1024 x 1024. In th
at range we find no evidence of saturation. We do, however, find finit
e-size exponents that seem inconsistent with a single length-scale pic
ture at criticality.