Articoli in riviste
| Fractal dimensions of confined clusters in two-dimensional directed percolation |
| Kaiser C., Turban L. |
| Journal of Physics A: Mathematical and General 27 (1994) L579 |
| DOI : 10.1088/0305-4470/27/16/003 |
| ArXiv : cond-mat/9408076 [PDF] |
| HAL : hal-00422032 |
The fractal structure of directed percolation clusters, grown at the percolation threshold inside parabolic-like systems, is studied in two dimensions via Monte Carlo simulations. With a free surface at y=\pm Cx^k and a dynamical exponent z, the surface shape is a relevant perturbation when k<1/z and the fractal dimensions of the anisotropic clusters vary continuously with k. Analytic expressions for these variations are obtained using a blob picture approach. |