Abstract
We calculate the internal energy of the Potts model on the triangular lattice with two- and three-body interactions at the transition point satisfying certain conditions for coupling constants. The method is a duality transformation. Therefore we have to make assumptions on uniqueness of the transition point and that the transition is of second order. These assumptions have been verified to hold by numerical simulations for q = 2, 3, and 4, and our results for the internal energy are expected to be exact in these cases.
| Original language | English |
|---|---|
| Article number | 114003 |
| Journal | journal of the physical society of japan |
| Volume | 75 |
| Issue number | 11 |
| DOIs | |
| Publication status | Published - 2006 Nov |
| Externally published | Yes |
Keywords
- Duality transformation
- Exact energy
- Potts model
- Transition point
- Triangular lattice
ASJC Scopus subject areas
- Physics and Astronomy(all)