The fractal dimension of the minimum path in two- and three-dimensional percolation
- 7 September 1988
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 21 (17) , L829-L833
- https://doi.org/10.1088/0305-4470/21/17/003
Abstract
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.Keywords
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