Internal Energy of the Potts model on the Triangular Lattice with Two- and Three-body Interactions

Details Internal Energy of the Potts model on the Triangular Lattice with Two- and Three-body Interactions Internal Energy of the Potts model on the Triangular Lattice with Two- and Three-body Interactions

2006-05-29

arxiv.org/abs/cond-mat/0605688v2

J. Phys. Soc. Jpn. Vol. 75,(2006)114003

Physics

Condensed Matter

Statistical Mechanics

9 pages, 4 figures

Scientific paper

10.1143/JPSJ.75.114003

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.

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