Self-stabilised fractality of sea-coasts through damped erosion

Details Self-stabilised fractality of sea-coasts through damped erosion Self-stabilised fractality of sea-coasts through damped erosion

2003-11-21

arxiv.org/abs/cond-mat/0311509v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 5 figures

Scientific paper

10.1103/PhysRevLett.93.098501

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-stabilisation of the waves amplitude together with the irregular morphology of the coast. A simple model of such stabilisation is studied. It leads, through a complex dynamics of the earth-sea interface, to the appearance of a stationary fractal seacoast with dimension close to 4/3. Fractal geometry plays here the role of a morphological attractor directly related to percolation geometry.

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