Surface roughening for two-dimensional percolation at p=1
- 1 October 1981
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 14 (10) , L393-L398
- https://doi.org/10.1088/0305-4470/14/10/003
Abstract
Introduces (10) and (11) interface models for percolation on the square lattice and on the triangular lattice. In the case of p=1 (p probability) only the (10) models show surface roughening. An analytic calculation gives a square-root divergence for the interface width in the thermodynamic limit.Keywords
This publication has 9 references indexed in Scilit:
- On the roughening transition in non-abelian lattice gauge theoriesNuclear Physics B, 1981
- Roughening transition in lattice gauge theories in arbitrary dimension: (I). The Z2 caseNuclear Physics B, 1981
- Generalized roughening transition and its effect on the string tensionNuclear Physics B, 1981
- Symmetry-breaking aspects of the roughening transition in gauge theoriesNuclear Physics B, 1981
- Surface roughening for two-dimensional percolation abovep cZeitschrift für Physik B Condensed Matter, 1980
- Possible observation of the roughening transition in heliumJournal de Physique Lettres, 1980
- Scaling theory of percolation clustersPhysics Reports, 1979
- On the free energy of crystal surfacesJournal of Physics C: Solid State Physics, 1974
- Structural Transition in the Ising-Model InterfacePhysical Review Letters, 1973