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Periodic And Quasiperiodic Time-Dependent Behavior In Collective Ordered Phases

Author

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  • JASON A.C. GALLAS

    (Höchstleistungsrechenzentrum (HLRZ), KFA, 5170 Jülich, Germany;
    Laboratório de Óptica Quântica da UFSC, 88049 Fhrianópolis, Brazil)

  • ROCH BOURBONNAIS

    (Höchstleistungsrechenzentrum (HLRZ), KFA, 5170 Jülich, Germany;
    Thinking Machines Corporation, 245 First Street, Cambridge, MA 02142–1214, USA)

  • HANS J. HERRMANN

    (Höchstleistungsrechenzentrum (HLRZ), KFA, 5170 Jülich, Germany)

Abstract

We investigate numerically totalistic cellular automata rules in four and five dimensions that have been recently proposed by Chaté and Manneville and that show periodic or quasiperiodic time sequences in the magnetization. We show how to implement such rules fast on a Connection Machine. We confirm the proposed behavior by analyzing the time and size dependence of the distance from the attractor. Also the dependence of the initial configuration, the behavior of very small systems and mean-field calculations are presented.

Suggested Citation

  • Jason A.C. Gallas & Roch Bourbonnais & Hans J. Herrmann, 1992. "Periodic And Quasiperiodic Time-Dependent Behavior In Collective Ordered Phases," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 3(02), pages 347-365.
    • Handle: RePEc:wsi:ijmpcx:v:03:y:1992:i:02:n:s0129183192000282
    DOI: 10.1142/S0129183192000282
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