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Self-organized criticality in the ‘‘game of Life’’

1994; American Physical Society; Volume: 49; Issue: 4 Linguagem: Inglês

10.1103/physreve.49.r2507

1538-4519

Preben Alstrøm, João Leão,

Stochastic processes and statistical mechanics

The question of saturation of self-organized criticality in the ``game of Life'' is analyzed through finite-size scaling. We have carried out connection-machine simulations for lattices up to 1024\ifmmode\times\else\texttimes\fi{}1024. In that range we find no evidence of saturation. We do, however, find finite-size exponents that seem inconsistent with a single length-scale picture at criticality.