Subcritical behavior in the alternating supercritical Domany-Kinzel dynamics

Details Subcritical behavior in the alternating supercritical Domany-Kinzel dynamics Subcritical behavior in the alternating supercritical Domany-Kinzel dynamics

2004-07-29

arxiv.org/abs/cond-mat/0407745v3

European Physical Journal B, 40, 313-319, 2004

Physics

Condensed Matter

Statistical Mechanics

8 figures

Scientific paper

10.1140/epjb/e2004-00279-5

Cellular automata are widely used to model real-world dynamics. We show using the Domany-Kinzel probabilistic cellular automata that alternating two supercritical dynamics can result in subcritical dynamics in which the population dies out. The analysis of the original and reduced models reveals generality of this paradoxical behavior, which suggests that autonomous or man-made periodic or random environmental changes can cause extinction in otherwise safe population dynamics. Our model also realizes another scenario for the Parrondo's paradox to occur, namely, spatial extensions.

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