%0 Journal Article %1 WOS:000181520300128 %A Araujo, AD %A Moreira, AA %A Costa, RN %A Andrade, JS %C ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA %D 2003 %I AMER PHYSICAL SOC %J PHYSICAL REVIEW E %K imported %N 2, 2 %R 10.1103/PhysRevE.67.027102 %T Statistics of the critical percolation backbone with spatial long-range correlations %V 67 %X 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)similar toM(B)(-(alpha+1))f(M-B/M-0), where f(x)=(alpha+etax(eta))exp(-x(eta)) is a cutoff function and M-0 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.

@article{WOS:000181520300128, 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)similar toM(B)(-(alpha+1))f(M-B/M-0), where f(x)=(alpha+etax(eta))exp(-x(eta)) is a cutoff function and M-0 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.}, added-at = {2022-05-23T20:00:14.000+0200}, address = {ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA}, author = {Araujo, AD and Moreira, AA and Costa, RN and Andrade, JS}, biburl = {https://www.bibsonomy.org/bibtex/2e1d641ff8bdf81b5c7cc3d0ec8402e08/ppgfis_ufc_br}, doi = {10.1103/PhysRevE.67.027102}, interhash = {269f096a3b3e911fa02c2b2ec29d5184}, intrahash = {e1d641ff8bdf81b5c7cc3d0ec8402e08}, issn = {1539-3755}, journal = {PHYSICAL REVIEW E}, keywords = {imported}, number = {2, 2}, publisher = {AMER PHYSICAL SOC}, pubstate = {published}, timestamp = {2022-05-23T20:00:14.000+0200}, title = {Statistics of the critical percolation backbone with spatial long-range correlations}, tppubtype = {article}, volume = 67, year = 2003 }