@andreab

Self-Stabilized Fractality of Seacoasts through Damped Erosion

, , and . Physical Review Letters, 93 (9): 098501 (2004)

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.

Links and resources

Tags