Zoom in on a fractal diffusion front in a bidimensional medium obtained by means of a random walk process [Zoom sur un front fractal de diffusion dans un milieu bidimensionnel obtenu grâce à un processus de marche aléatoire].
The bottom line of the bidimensional square lattice is a source of particles (with constant concentration).
From time to time, each particle is free to move to one of its four neighbour sites
-East, South, West and North- on the condition this site is free.
After a long simulation time, five subsets can be defined:
- the "Earth" (bright green) is the subset of particles 4-connected to the source,
- the "Islands" (dark green) are the subsets of particles not 4-connected to the source,
- the "Sea" (blue) is the subset of empty sites not surrended by the Earth,
- the "Lakes" (cyan) are the subsets of empty sites not 8-connected to the Sea,
- the "Shore" (yellow) is the the subset of the Earth close to the Sea.
The "Shore" is a fractal object with a dimension equals to 7/4.
See the whole simulation:
(CMAP28 WWW site: this page was created on 09/28/2009 and last updated on 02/07/2018
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