Self-stabilized fractality of seacoasts through damped erosion |
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Authors: | Sapoval B Baldassarri A Gabrielli A |
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Institution: | Laboratoire de Physique de la Matière Condensée, CNRS Ecole Polytechnique, 91128 Palaiseau, France. |
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Abstract: | Erosion of rocky coasts spontaneously creates irregular seashores. But the geometrical irregularity, in turn, damps the sea waves, decreasing the average wave amplitude. There may then exist a mutual self-stabilization of the wave amplitude together with the irregular morphology of the coast. A simple model of such stabilization is studied. It leads, through a complex dynamics of the earth-sea interface, to the appearance of a stationary fractal seacoast with a dimension close to 4/3. Fractal geometry here plays the role of a morphological attractor directly related to percolation geometry. |
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