Scaling behavior of percolation surfaces in three dimensions
- 11 March 1991
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 66 (10) , 1330-1333
- https://doi.org/10.1103/physrevlett.66.1330
Abstract
We present the results of a Monte Carlo study of the surfaces (or ‘‘hulls’’) of percolation clusters in three dimensions. The hulls were generated using a novel growing self-avoiding surface. Our results strongly suggest that the surface and bulk of the infinite cluster have the same fractal dimension at the percolation threshold, and that the other bulk and hull critical exponents are identical as well. These conclusions are supported by heuristic scaling arguments.Keywords
This publication has 21 references indexed in Scilit:
- Series study of percolation moments in general dimensionPhysical Review B, 1990
- Fractal structure of diffusion and invasion fronts in three-dimensional lattices through the gradient percolation approachPhysical Review B, 1988
- Exact Determination of the Percolation Hull Exponent in Two DimensionsPhysical Review Letters, 1987
- On the hull of two-dimensional percolation clustersJournal of Physics A: General Physics, 1986
- Test of scaling exponents for percolation-cluster perimetersPhysical Review Letters, 1986
- Percolation and motion in a simple random environmentJournal of Physics A: General Physics, 1985
- A new kinetic walk and percolation perimetersPhysical Review B, 1985
- Introduction to Percolation TheoryPublished by Taylor & Francis ,1985
- Generation of percolation cluster perimeters by a random walkJournal of Physics A: General Physics, 1984
- Critical behavior of two-dimensional spin models and charge asymmetry in the Coulomb gasJournal of Statistical Physics, 1984