Diffusion-Reorganized Aggregates: Attractors in Diffusion Processes?
- 11 December 2000
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 85 (24) , 5118-5121
- https://doi.org/10.1103/physrevlett.85.5118
Abstract
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 a 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 dynamical equilibrium geometry of a diffusion-controlled self-transformation process.Keywords
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