The 'island-peninsula' phenomenon of the fractal diffusion front in a bidimensional medium obtained by means of a random walk process [Le phénomène 'île-presqu'île' du front fractal de diffusion dans un milieu bidimensionnel obtenu grâce à un processus de marche aléatoire].




The white point belongs to the "Shore" (yellow) -a fractal object with a dimension equals to 7/4-.

If this last point moves to the right-hand side neighbour site -that belongs to the "Sea" (blue)-, then the very small red subset disconnects itself from the "Shore" and becomes an "Island" when conversely the very big red "Island" connects itself to the "Shore".

Thus, a microscopic event can be the cause of a macroscopic phenomenon...


See the whole lattice.


(CMAP28 WWW site: this page was created on 03/20/2007 and last updated on 10/17/2016 10:03:19 -CEST-)



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