Spreading and backbone dimensions of 2D percolation
- 7 November 1992
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 25 (21) , 5475-5484
- https://doi.org/10.1088/0305-4470/25/21/009
Abstract
The author presents results of high-statistics simulations of the spreading of 2D percolation, and of backbones of 2D percolation clusters. While the algorithm employed for the spreading is more or less standard, for identifying backbones the author uses a new and very efficient recursive algorithm. The author uses new critical exponents to test previous conjectures.Keywords
This publication has 14 references indexed in Scilit:
- On correction to scaling for two- and three-dimensional scalar and vector percolationJournal of Statistical Physics, 1991
- The fractal dimension of the minimum path in two- and three-dimensional percolationJournal of Physics A: General Physics, 1988
- A new algorithm to extract the backbone in a random resistor networkJournal of Physics A: General Physics, 1987
- Spreading of percolation in three and four dimensionsJournal of Physics A: General Physics, 1986
- On the spreading of two-dimensional percolationJournal of Physics A: General Physics, 1985
- Building Blocks of Percolation Clusters: Volatile FractalsPhysical Review Letters, 1984
- On the spreading dimension of percolation and directed percolation clustersJournal of Physics A: General Physics, 1984
- On the critical behavior of the general epidemic process and dynamical percolationMathematical Biosciences, 1983
- A very fast shift-register sequence random number generatorJournal of Computational Physics, 1981
- Depth-First Search and Linear Graph AlgorithmsSIAM Journal on Computing, 1972