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Parallelism On The Intel 860 Hypercube: Ising Magnets, Hydrodynamical Cellular Automata And Neural Networks

Author

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  • G.A. KOHRING

    (Institute for Theoretical Physics, University of Cologne, Zülpicherstr. 77, D-5000 Köln 41, Germany)

  • D. STAUFFER

    (Institute for Theoretical Physics, University of Cologne, Zülpicherstr. 77, D-5000 Köln 41, Germany)

Abstract

Geometric parallelization was tested on the Intel Hypercube with 32 MIMD processors of 1860 type, each with 16 Mbytes of distributed memory. We applied it to Ising models in two and three dimensions as well as to neural networks and two-dimensional hydrodynamic cellular automata. For system sizes suited to this machine, up to60960*60960and1410*1410*1408Ising spins, we found nearly hundred percent parallel efficiency in spite of the needed inter-processor communications. For small systems, the observed deviations from full efficiency were compared with the scaling concepts of Heermann and Burkitt and of Jakobs and Gerling. For Ising models, we determined the Glauber kinetic exponentz≃2.18in two dimensions and confirmed the stretched exponential relaxation of the magnetization towards the spontaneous magnetization belowTc. For three dimensions we foundz≃2.09and simple exponential relaxation.

Suggested Citation

  • G.A. Kohring & D. Stauffer, 1992. "Parallelism On The Intel 860 Hypercube: Ising Magnets, Hydrodynamical Cellular Automata And Neural Networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 3(06), pages 1165-1178.
    • Handle: RePEc:wsi:ijmpcx:v:03:y:1992:i:06:n:s0129183192000798
    DOI: 10.1142/S0129183192000798
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