A minimal model for the self-stabilized fractality of seacoasts through damped erosion was analyzed. The model 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. It was observed that the full complex dynamics, involving fast and slow processes, build a dynamic equilibrium that changes the shape of the coast but preserves its fractal properties. It was shown that the fractal geometry plays the role of a morphological attractor directly related to percolation geometry.
Sapoval, B., Baldassarri, A., Gabrielli, A. (2004). Self-stabilized fractality of seacoasts through damped erosion. PHYSICAL REVIEW LETTERS, 93(9), 1-98501 [10.1103/PhysRevLett.93.098501].
Self-stabilized fractality of seacoasts through damped erosion
Gabrielli A.
2004-01-01
Abstract
A minimal model for the self-stabilized fractality of seacoasts through damped erosion was analyzed. The model 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. It was observed that the full complex dynamics, involving fast and slow processes, build a dynamic equilibrium that changes the shape of the coast but preserves its fractal properties. It was shown that the fractal geometry plays the role of a morphological attractor directly related to percolation geometry.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
