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Equivalence Between The Flr Time Dependent Percolation Model And The Newman–Ziff Algorithm

Author

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  • JOAQUIM E. de FREITAS

    (International Center for Complex Systems, Departamento de Física Teórica e Experimental and Departamento de Matemática, Universidade Federal do Rio Grande do Norte, Campus Universitário, 59078-970 Natal-RN, Brazil)

  • LIACIR S. LUCENA

    (International Center for Complex Systems, Departamento de Física Teórica e Experimental and Departamento de Matemática, Universidade Federal do Rio Grande do Norte, Campus Universitário, 59078-970 Natal-RN, Brazil)

Abstract

We compare the results of a very efficient algorithm that we have proposed to study the time evolution of percolation clusters when the occupation probability swept through the critical value in the same sample and in a single run with another algorithm proposed by Newman and Ziff to allow fast calculations of the standard percolation model. Both have a complexity per site that is roughly independent of the size of the system. Our results show that for the derivative threshold distribution, the results(exponent= 1.8 ± 0.2)are closer to Wester while for the cumulative distribution(exponent= 1.5 ± 0.1), they are closer to Newman and Ziff.

Suggested Citation

  • JOAQUIM E. de FREITAS & LIACIR S. LUCENA, 2000. "Equivalence Between The Flr Time Dependent Percolation Model And The Newman–Ziff Algorithm," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 11(08), pages 1581-1584.
    • Handle: RePEc:wsi:ijmpcx:v:11:y:2000:i:08:n:s0129183100001425
    DOI: 10.1142/S0129183100001425
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