Synchronous versus asynchronous updating in the “game of Life”
- 1 April 1999
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 59 (4) , 3876-3879
- https://doi.org/10.1103/physreve.59.3876
Abstract
The rules for the “game of Life” are modified to allow for only a random fraction of sites to be updated in each time step. Under variation of this fraction from the parallel updating limit down to the Poisson limit, a critical phase transition is observed that explains why the game of Life appears to obey self-organized criticality. The critical exponents are calculated and the static exponents appear to belong to the directed percolation universality class in 2+1 dimensions. The dynamic exponents, however, are nonuniversal, as seen in other systems with multiple absorbing states.Keywords
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