Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2000-10-27
Physics
Condensed Matter
Statistical Mechanics
4 pages, 5 figures
Scientific paper
10.1103/PhysRevLett.85.5118
A process based on particle evaporation, diffusion and redeposition is applied iteratively to a two-dimensional object of arbitrary shape. The evolution spontaneously transforms the object morphology, converging to branched structures. Independently of initial geometry, the structures found after long time present fractal geometry with a fractal dimension around 1.75. The final morphology, which constantly evolves in time, can be considered as the dynamic attractor of this evaporation-diffusion-redeposition operator. The ensemble of these fractal shapes can be considered to be the {\em dynamical equilibrium} geometry of a diffusion controlled self-transformation process.
Filoche Marcel
Sapoval Bernard
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