The fractal dimension of the minimum path in two- and three-dimensional percolation

The fractal dimension of the minimum path in two- and three-dimensional percolation
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二维和三维渗流中最小路径的分形维数

DOI:
10.1088/0305-4470/21/17/003
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发表时间:
1988
期刊:
Journal of Physics A
影响因子:
--
通讯作者:
H. Stanley
H. Stanley
中科院分区:
--
文献类型:
--
作者:
Hans Jürgen Herrmann;H. Stanley

文献摘要

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计算了渗流簇上两点间最短路径l的分形维数d(min),其中l近似rd(min),r是两点间的勾股距离。他们发现d(min)=1.130+或-0.002对于d=2和1.34+或-0.01对于d=3。
The authors calculate the fractal dimension d(min) of the shortest path l between two points on a percolation cluster, where l approximately rd(min) and r is the Pythagorean distance between the points. They find d(min)=1.130+or-0.002 for d=2 and 1.34+or-0.01 for d=3.