PARALLELISM ON THE INTEL 860 HYPERCUBE: ISING MAGNETS, HYDRODYNAMICAL CELLULAR AUTOMATA AND NEURAL NETWORKS

G.A. Kohring and D. Stauffer
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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

International Journal of Modern Physics C (IJMPC), 1992, vol. 03, issue 06, 1165-1178

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.

Keywords: Parallel Efficiency; Neural Networks; Lattice Gases; Relaxation Exponents (search for similar items in EconPapers)
Date: 1992
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DOI: 10.1142/S0129183192000798

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