Effect of boundary conditions on scaling in the ``game of Life''

Hendrik J. Blok and Birger Bergersen
Phys. Rev. E 55, 6249 – Published 1 May 1997
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Abstract

The debate as to whether the ``game of Life'' is self-organized critical remains unresolved. We present evidence that boundary conditions play an important role in the scaling behavior, resulting in apparently contradictory results. We develop an analytic form for the scaling function, and demonstrate that periodic boundaries force saturation, while open boundaries exhibit no such transitions on similar scales. We also consider the removal of boundaries altogether.

    DOI:https://doi.org/10.1103/PhysRevE.55.6249

    ©1997 American Physical Society

    Authors & Affiliations

    Hendrik J. Blok and Birger Bergersen

    • Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z1

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    Issue

    Vol. 55, Iss. 5 — May 1997

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