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.
%0 Journal Article
%1 sapoval:098501
%A Sapoval, B.
%A Baldassarri, A.
%A Gabrielli, A.
%D 2004
%I APS
%J Physical Review Letters
%K 2004 cnrbest5 coastal coastline erosion etching model myown percolation physics prl stochastic
%N 9
%P 098501
%T Self-Stabilized Fractality of Seacoasts through Damped Erosion
%U http://link.aps.org/abstract/PRL/v93/e098501
%V 93
%X 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.
@article{sapoval:098501,
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.
},
added-at = {2006-10-17T20:17:55.000+0200},
author = {Sapoval, B. and Baldassarri, A. and Gabrielli, A.},
biburl = {https://www.bibsonomy.org/bibtex/25dee47ed88d3095cd8850b80186811e2/andreab},
eid = {098501},
interhash = {cbc080d0c60a50abe1beeebd592cb531},
intrahash = {5dee47ed88d3095cd8850b80186811e2},
journal = {Physical Review Letters},
keywords = {2004 cnrbest5 coastal coastline erosion etching model myown percolation physics prl stochastic},
number = 9,
numpages = {4},
pages = 098501,
publisher = {APS},
timestamp = {2007-03-21T18:34:50.000+0100},
title = {Self-Stabilized Fractality of Seacoasts through Damped Erosion},
url = {http://link.aps.org/abstract/PRL/v93/e098501},
volume = 93,
year = 2004
}