How winding is the coast of Britain? Conformal invariance of rocky shorelines

被引：26
作者：
Boffetta, G. [1 ]
Celani, A. [2 ]
Dezzani, D. [1 ]
Seminara, A. [3 ]
机构：
[1] Univ Turin, Dipartimento Fis Gen, I-010125 Turin, Italy
[2] CNRS INLN, F-06560 Valbonne, France
[3] Univ Genoa, Dipartimento Fis, I-16146 Genoa, Italy
来源：
GEOPHYSICAL RESEARCH LETTERS | 2008年 / 35卷 / 03期
关键词：
D O I：
10.1029/2007GL033093
中图分类号：
P [天文学、地球科学];
学科分类号：
07 ;
摘要：
We show that rocky shorelines with fractal dimension 4/3 are conformally invariant curves by measuring the statistics of their winding angles from global high-resolution data. Such coastlines are thus statistically equivalent to the outer boundary of the random walk and of percolation clusters. A simple model of coastal erosion gives an explanation for these results. Conformal invariance allows also to predict the highly intermittent spatial distribution of the flux of pollutant diffusing ashore. Citation: Boffetta, G., A. Celani, D. Dezzani, and A. Seminara (2008), How winding is the coast of Britain? Conformal invariance of rocky shorelines.
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页数：5
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