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Efficient space virtualization for the Hoshen–Kopelman algorithm

Author

Listed:
  • M. Kotwica

    (Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, al. Mickiewicza 30 30-059 Krakow, Poland)

  • P. Gronek

    (Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, al. Mickiewicza 30 30-059 Krakow, Poland)

  • K. Malarz

    (Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, al. Mickiewicza 30 30-059 Krakow, Poland)

Abstract

In this paper, the efficient space virtualisation for the Hoshen–Kopelman algorithm is presented. We observe minimal parallel overhead during computations, due to negligible communication costs. The proposed algorithm is applied for computation of random-site percolation thresholds for four dimensional simple cubic lattice with sites’ neighborhoods containing next–next–nearest neighbors (3NN). The obtained percolation thresholds are pC(NN)=0.19680(23), pC(2NN)=0.08410(23), pC(3NN)=0.04540(23), pC(2NN+NN)=0.06180(23), pC(3NN+NN)=0.04000(23), pC(3NN+2NN)=0.03310(23), pC(3NN+2NN+NN)=0.03190(23), where 2NN and NN stand for next–nearest neighbors and nearest neighbors, respectively.

Suggested Citation

  • M. Kotwica & P. Gronek & K. Malarz, 2019. "Efficient space virtualization for the Hoshen–Kopelman algorithm," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 30(08), pages 1-20, August.
    • Handle: RePEc:wsi:ijmpcx:v:30:y:2019:i:08:n:s0129183119500554
    DOI: 10.1142/S0129183119500554
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    Cited by:

    1. Agnieszka Kowalska-Styczeń & Krzysztof Malarz, 2020. "Noise induced unanimity and disorder in opinion formation," PLOS ONE, Public Library of Science, vol. 15(7), pages 1-22, July.
    2. Malarz, Krzysztof, 2023. "Random site percolation thresholds on square lattice for complex neighborhoods containing sites up to the sixth coordination zone," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 632(P1).

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