Oceanic coastline and super-universality of percolation clusters
Statistical Mechanics
2007-05-23 v2
Abstract
New fractal subset of a rough surface, the ``oceanic coastline'', is defined. For random Gaussian surfaces with negative Hurst exponent , ``oceanic coastlines'' are mapped to the percolation clusters of the (correlated) percolation problem. In the case of rough self-affine surfaces (), the fractal dimension of the ``oceanic coastline'' is calculated numerically as a function of the roughness exponent (using a novel technique of minimizing finite-size effects). For H=0, the result coincides with the analytic value for the percolation problem (91/48), suggesting a super-universality of for correlated percolation problem.
Keywords
Cite
@article{arxiv.cond-mat/0210650,
title = {Oceanic coastline and super-universality of percolation clusters},
author = {Jaan Kalda},
journal= {arXiv preprint arXiv:cond-mat/0210650},
year = {2007}
}
Comments
4 pages (Grammatically revised)