Synchronous versus asynchronous updating in the "game of Life". Blok, H. J. (. & Bergersen, B. 59(4):3876–3879. Paper doi abstract bibtex 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.
@article{blok_synchronous_1999,
title = {Synchronous versus asynchronous updating in the "game of Life"},
volume = {59},
url = {http://link.aps.org/doi/10.1103/PhysRevE.59.3876},
doi = {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.},
version = {1327},
pages = {3876--3879},
number = {4},
journaltitle = {Physical Review E},
shortjournal = {Phys. Rev. E},
author = {Blok, Hendrik J. (Rik) and Bergersen, Birger},
urldate = {2012-02-22},
date = {1999-04-01},
keywords = {Rik's work}
}
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