Dynamical fractal equilibrium in diffusion limited reorganization |
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| Affiliation: | 1. Physique de la Matière Condensée, CNRS, Ecole Polytechnique, 91128 Palaiseau, France;2. Medical R&D, Air Liquide Santé International, Centre de Recherche Paris-Saclay, 78534 Jouy-en-Josas, France;3. Department of Mechanical Engineering, Lafayette College, Easton, PA 18042, USA;4. Centre de Mathématiques et de leurs Applications, CNRS, UniverSud, 94235 Cachan, France |
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| Abstract: | The evolution of a compact structure under surface evaporation, diffusion and subsequent re-deposition is studied numerically in d = 2. After a transitory regime, the evolution leads to the spontaneous apparition of a dynamic fractal morphology exhibiting a dimension of order Df = 1.6. The final morphology plays the role of a statistical dynamic attractor. This effect indicates that fractal structures can result from the irreversible evolution of dynamical processes towards internal equilibrium. |
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