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Simulation Of Percolation On Massively-Parallel Computers

Author

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  • DANIEL TIGGEMANN

    (Institute for Theoretical Physics, Cologne University, 50937 Köln, Germany, Europen Union, Germany)

Abstract

A novel approach to parallelize the well-known Hoshen–Kopelman algorithm has been chosen, suitable for simulating huge lattices in high dimensions on massively-parallel computers with distributed memory and message passing. This method consists of domain decomposition of the simulated lattice into strips perpendicular to the hyperplane of investigation that is used in the Hoshen–Kopelman algorithm. Systems of world record sizes, up toL = 4 000 256in two dimensions,L = 20 224in three, andL = 1036in four, gave precise estimates for the Fisher exponent τ, the corrections to scalingΔ1, and for the critical number densitync.

Suggested Citation

  • Daniel Tiggemann, 2001. "Simulation Of Percolation On Massively-Parallel Computers," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 12(06), pages 871-878.
    • Handle: RePEc:wsi:ijmpcx:v:12:y:2001:i:06:n:s012918310100205x
    DOI: 10.1142/S012918310100205X
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    Cited by:

    1. E. Samanidou & E. Zschischang & D. Stauffer & T. Lux, 2007. "Agent-based Models of Financial Markets," Papers physics/0701140, arXiv.org.
    2. Zhang, Zhongjin & Hou, Pengcheng & Fang, Sheng & Hu, Hao & Deng, Youjin, 2021. "Critical exponents and universal excess cluster number of percolation in four and five dimensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 580(C).
    3. E. Samanidou & E. Zschischang & D. Stauffer & T. Lux, 2001. "Microscopic Models of Financial Markets," Papers cond-mat/0110354, arXiv.org.

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