Scaling relations for watersheds
Scaling relations for watersheds
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DOI：
10.1103/physreve.84.036116
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发表时间：
2011-09-27
影响因子：
2.4
通讯作者：
Herrmann, H. J.
中科院分区：
文献类型：
--
作者：
Fehr, E.;Kadau, D.;Herrmann, H. J.
我们研究的形态流域在二维和三维系统进行不同程度的空间相关性。这些对象的小，局部扰动的响应也进行了广泛的数值模拟研究。我们发现流域的分形维数一般随Hurst指数而降低，Hurst指数量化了空间相关性的程度。此外，在二维中，我们的结果符合分形维数1.10的范围
We study the morphology of watersheds in two and three dimensional systems subjected to different degrees of spatial correlations. The response of these objects to small, local perturbations is also investigated with extensive numerical simulations. We find the fractal dimension of the watersheds to generally decrease with the Hurst exponent, which quantifies the degree of spatial correlations. Moreover, in two dimensions, our results match the range of fractal dimensions 1.10