Display options
Cite
Araújo AD, Moreira AA, Costa Filho RN, et al. Statistics of the critical percolation backbone with spatial long-range correlations. Phys Rev E Stat Nonlin Soft Matter Phys. 2003;67(2):027102doi: 10.1103/PhysRevE.67.027102.
Araújo, A. D., Moreira, A. A., Costa Filho, R. N., & Andrade, J. S. (2003). Statistics of the critical percolation backbone with spatial long-range correlations. Physical review. E, Statistical, nonlinear, and soft matter physics, 67(2), 027102. https://doi.org/10.1103/PhysRevE.67.027102
Araújo, A D, et al. "Statistics of the critical percolation backbone with spatial long-range correlations." Physical review. E, Statistical, nonlinear, and soft matter physics vol. 67,2 (2003): 027102. doi: https://doi.org/10.1103/PhysRevE.67.027102
Araújo AD, Moreira AA, Costa Filho RN, Andrade JS. Statistics of the critical percolation backbone with spatial long-range correlations. Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Feb;67(2):027102. doi: 10.1103/PhysRevE.67.027102. Epub 2003 Feb 24. PMID: 12636857.
Copy Download .nbib Format: NLM
Share it on

Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Feb;67(2):027102. doi: 10.1103/PhysRevE.67.027102. Epub 2003 Feb 24.

Statistics of the critical percolation backbone with spatial long-range correlations.

Physical review. E, Statistical, nonlinear, and soft matter physics

A D Araújo, A A Moreira, R N Costa Filho, J S Andrade

Affiliations

  1. Departamento de Física, Universidade Federal do Ceará, 60451-970 Fortaleza, Ceará, Brazil.

PMID: 12636857 DOI: 10.1103/PhysRevE.67.027102

Abstract

We study the statistics of the backbone cluster between two sites separated by distance r in two-dimensional percolation networks subjected to spatial long-range correlations. We find that the distribution of backbone mass follows the scaling ansatz, P(M(B)) approximately M(-(alpha+1))(B)f(M(B)/M(0)), where f(x)=(alpha+etax(eta))exp(-x(eta)) is a cutoff function and M0 and eta are cutoff parameters. Our results from extensive computational simulations indicate that this scaling form is applicable to both correlated and uncorrelated cases. We show that the exponent alpha can be directly related to the fractal dimension of the backbone d(B), and should therefore depend on the imposed degree of long-range correlations.

Publication Types