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. © 2013 American Physical Society. Show more
Publication status
publishedExternal links
Journal / series
Physical Review EVolume
Pages / Article No.
Publisher
American Physical SocietyOrganisational unit
03733 - Herrmann, Hans Jürgen (emeritus) / Herrmann, Hans Jürgen (emeritus)
Funding
319968 - Fluid Flow in Complex and Curved Spaces (EC)
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ETH Bibliography
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