Internal energy of the Potts model on the triangular lattice with two- and three-body interactions

Masayuki Ohzeki; Hidetoshi Nishimori

doi:10.1143/JPSJ.75.114003

Internal energy of the Potts model on the triangular lattice with two- and three-body interactions

Masayuki Ohzeki, Hidetoshi Nishimori

INF - Applied Information Sciences

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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	https://doi.org/10.1143/JPSJ.75.114003
Publication status	Published - 2006 Nov

Keywords

Duality transformation
Exact energy
Potts model
Transition point
Triangular lattice

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1143/JPSJ.75.114003

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AB - 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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