EQUIVALENCE BETWEEN THE FLR TIME DEPENDENT PERCOLATION MODEL AND THE NEWMAN–ZIFF ALGORITHM

Joaquim E. de FREITAS and Liacir S. Lucena ()
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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

International Journal of Modern Physics C (IJMPC), 2000, vol. 11, issue 08, 1581-1584

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.

Keywords: Percolation; Efficient Algorithms; Monte Carlo Simulations; Critical Exponents (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1142/S0129183100001425

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