The fractal nature of a diffusion front and the relation to percolation
Résumé
Using a two dimensional simulation, a diffusion front is shown to have a fractal geometry in a range increasing with the diffusion length. The number of particles on the front, and the width measuring its spread, follow power laws as a function of the diffusion length. The associated exponents and the fractal dimension can be expressed as simple functions of the critical exponents of the two dimensional percolation problem.
Origine : Accord explicite pour ce dépôt
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