Surface tension of square-lattice percolation clusters
- 1 February 1982
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 25 (3) , 2040-2041
- https://doi.org/10.1103/physrevb.25.2040
Abstract
On the basis of Monte Carlo simulations we compute a surface tension from the surface energy (excess perimeter) for both a longitudinal and a diagonal surface model of large percolation clusters above on the square lattice. The results are smaller than an effective surface tension of very small clusters, obtained from the average number of clusters of a given size.
Keywords
This publication has 12 references indexed in Scilit:
- Surface roughening for two-dimensional percolation at p=1Journal of Physics A: General Physics, 1981
- Critical exponents of two-dimensional Potts and bond percolation modelsJournal of Physics A: General Physics, 1981
- Surface roughening for two-dimensional percolation abovep cZeitschrift für Physik B Condensed Matter, 1980
- Scaling theory of percolation clustersPhysics Reports, 1979
- Essential singularity in percolation problems and asymptotic behavior of cluster size distributionJournal of Statistical Physics, 1978
- Essential Singularity in the Percolation ModelPhysical Review Letters, 1978
- Interface free energy and transition temperature of the square-lattice Ising antiferromagnet at finite magnetic fieldZeitschrift für Physik B Condensed Matter, 1977
- Lattice-Gas Interface Structure: A Monte Carlo SimulationPhysical Review Letters, 1973
- Interfacial, Boundary, and Size Effects at Critical PointsPhysical Review Letters, 1967
- Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder TransitionPhysical Review B, 1944