Cluster shapes in lattice gases and percolation
- 1 September 1975
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 8 (9) , L90-L94
- https://doi.org/10.1088/0305-4470/8/9/002
Abstract
An analysis is undertaken of the mean surface s of clusters of size n from Monte Carlo data simulating a two-dimensional Ising model. At sufficiently high temperatures the data represent a percolation process and it is found that the clusters are completely ramified (tree- or sponge-like). At temperatures just below Tc the data do not correspond to circular droplets as assumed in standard nucleation theory and typical samples show a great deal of ramification. It is concluded that the parameters in Fisher's droplet model are empirical and should not be given a direct physical interpretation.Keywords
This publication has 12 references indexed in Scilit:
- Percolation problems and phase transitionsJournal of Physics A: General Physics, 1975
- Cluster shapes in lattice gases and percolationJournal of Physics A: General Physics, 1975
- Cluster structure for dilute ferromagnets and percolationJournal of Physics C: Solid State Physics, 1975
- Percolation in a lattice system with particle interactionPhysics Letters A, 1974
- Singularities of the dilute Ising ferromagnetJournal of Physics C: Solid State Physics, 1974
- Monte Carlo study of the surface area of liquid dropletsJournal of Statistical Physics, 1972
- Low-Temperature Critical Exponents from High-Temperature Series: The Ising ModelPhysical Review B, 1970
- Self‐Avoiding Walks on LatticesPublished by Wiley ,1969
- The theory of condensation and the critical pointPhysics Physique Fizika, 1967
- Padé Approximant Studies of the Lattice Gas and Ising Ferromagnet below the Critical PointThe Journal of Chemical Physics, 1963