Some of the properties of the bond diluted s-state Potts model are examined in this paper, and in particular the phase boundary. It is shown that as s to 1, the model is simply related to the bond percolation problem. By extending the replica arguments of Domany (1978) (which are probably exact), it is shown that near p, the phase boundary behaves as exp(-sK)=(ln s)/(s-1)(p-pc/pc) for all 2-D lattices. The authors also construct a coherent potential approximation that is exact for all lattices as s to 1, and for arbitrary s on Bethe lattices.
|Original language||English (US)|
|Number of pages||10|
|Journal||Journal of Physics C: Solid State Physics|
|State||Published - Dec 1 1979|
ASJC Scopus subject areas
- Condensed Matter Physics
- Physics and Astronomy(all)