TY - JOUR
T1 - Internal energy of the Potts model on the triangular lattice with two- and three-body interactions
AU - Ohzeki, Masayuki
AU - Nishimori, Hidetoshi
N1 - Copyright:
Copyright 2011 Elsevier B.V., All rights reserved.
PY - 2006/11
Y1 - 2006/11
N2 - 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.
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.
KW - Duality transformation
KW - Exact energy
KW - Potts model
KW - Transition point
KW - Triangular lattice
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U2 - 10.1143/JPSJ.75.114003
DO - 10.1143/JPSJ.75.114003
M3 - Article
AN - SCOPUS:33847272738
VL - 75
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
SN - 0031-9015
IS - 11
M1 - 114003
ER -