Oceanic coastline and super-universality of percolation clusters
| dc.creator | Kalda, Jaan | |
| dc.date | 2002-10-29 | |
| dc.date | 2003-01-24 | |
| dc.date.accessioned | 2026-07-07T02:47:57Z | |
| dc.date.available | 2026-07-07T02:47:57Z | |
| dc.description | New fractal subset of a rough surface, the ``oceanic coastline'', is defined. For random Gaussian surfaces with negative Hurst exponent $H<0$, ``oceanic coastlines'' are mapped to the percolation clusters of the (correlated) percolation problem. In the case of rough self-affine surfaces ($H \ge 0$), the fractal dimension of the ``oceanic coastline'' $d_c$ is calculated numerically as a function of the roughness exponent $H$ (using a novel technique of minimizing finite-size effects). For H=0, the result $d_c \approx 1.896$ coincides with the analytic value for the percolation problem (91/48), suggesting a super-universality of $d_c$ for correlated percolation problem. | |
| dc.description | 4 pages (Grammatically revised) | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0210650 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0210650 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/20213 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Oceanic coastline and super-universality of percolation clusters | |
| dc.type | text |