J. Phys. I France
Volume 2, Numéro 11, November 1992
Page(s) 2033 - 2037
DOI: 10.1051/jp1:1992264
J. Phys. I France 2 (1992) 2033-2037

The Domany-Kinzel cellular automaton revisited

G.A. Kohring and M. Schreckenberg

Institut für Theoretische Physik, Universität zu Köln, Zülpicher Straße 77, D-5000 Köln, Germany

(Received 17 August 1992, accepted 24 August 1992)

New analytic and numerical results for the one-dimensional Domany-Kinzel cellular automaton are presented. Analytically we show that the qualitative features of the phase diagram, including the new phase recently found by Martins et al., can be predicted by going one-step beyond the mean field approximation. Numerically we find unusual finite size effects which make the extrapolations to the thermodynamic limit difficult.

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