%0 Journal Article %1 WOS:000326525500001 %A Schrenk, K J %A Pose, N %A Kranz, J J %A van Kessenich, L V M %A Araujo, N A M %A Herrmann, H J %C ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA %D 2013 %I AMER PHYSICAL SOC %J PHYSICAL REVIEW E %K imported %N 5 %R 10.1103/PhysRevE.88.052102 %T Percolation with long-range correlated disorder %V 88 %X Long-range power-law correlated percolation is investigated using Monte Carlo simulations. We obtain several static and dynamic critical exponents as functions of the Hurst exponent H, which characterizes the degree of spatial correlation among the occupation of sites. In particular, we study the fractal dimension of the largest cluster and the scaling behavior of the second moment of the cluster size distribution, as well as the complete and accessible perimeters of the largest cluster. Concerning the inner structure and transport properties of the largest cluster, we analyze its shortest path, backbone, red sites, and conductivity. Finally, bridge site growth is also considered. We propose expressions for the functional dependence of the critical exponents on H.

@article{WOS:000326525500001, abstract = {Long-range power-law correlated percolation is investigated using Monte Carlo simulations. We obtain several static and dynamic critical exponents as functions of the Hurst exponent H, which characterizes the degree of spatial correlation among the occupation of sites. In particular, we study the fractal dimension of the largest cluster and the scaling behavior of the second moment of the cluster size distribution, as well as the complete and accessible perimeters of the largest cluster. Concerning the inner structure and transport properties of the largest cluster, we analyze its shortest path, backbone, red sites, and conductivity. Finally, bridge site growth is also considered. We propose expressions for the functional dependence of the critical exponents on H.}, added-at = {2022-05-23T20:00:14.000+0200}, address = {ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA}, author = {Schrenk, K J and Pose, N and Kranz, J J and van Kessenich, L V M and Araujo, N A M and Herrmann, H J}, biburl = {https://www.bibsonomy.org/bibtex/2dda8c9c1b7a52e7510c11f15fca0fdf1/ppgfis_ufc_br}, doi = {10.1103/PhysRevE.88.052102}, interhash = {fe65dc1f0a5bb0c9f4dd5ec868f7a95c}, intrahash = {dda8c9c1b7a52e7510c11f15fca0fdf1}, issn = {2470-0045}, journal = {PHYSICAL REVIEW E}, keywords = {imported}, number = 5, publisher = {AMER PHYSICAL SOC}, pubstate = {published}, timestamp = {2022-05-23T20:00:14.000+0200}, title = {Percolation with long-range correlated disorder}, tppubtype = {article}, volume = 88, year = 2013 }