The Potts model

作者: F. Y. Wu

DOI: 10.1103/REVMODPHYS.54.235

关键词:

摘要: This is a tutorial review on the Potts model aimed at bringing out in an organized fashion essential and important properties of standard model. Emphasis placed exact rigorous results, but other aspects problem are also described to achieve unified perspective. Topics reviewed include mean-field theory, duality relations, series expansions, critical properties, experimental realizations, relationship with lattice-statistical problems.

参考文章(213)
J.M. Kosterlitz, D.J. Thouless, Chapter 5 Two-Dimensional Physics Progress in Low Temperature Physics. ,vol. 7, pp. 371- 433 ,(1978) , 10.1016/S0079-6417(08)60175-4
C.M. Fortuin, P.W. Kasteleyn, On the random-cluster model: I. Introduction and relation to other models Physica D: Nonlinear Phenomena. ,vol. 57, pp. 536- 564 ,(1972) , 10.1016/0031-8914(72)90045-6
G. Toulouse, Perspectives from the theory of phase transitions Il Nuovo Cimento B. ,vol. 23, pp. 234- 240 ,(1974) , 10.1007/BF02737507
David R. Nelson, XVI. Superfluidity and the two dimensional XY model Physics Reports. ,vol. 49, pp. 255- 259 ,(1979) , 10.1016/0370-1573(79)90116-9
Michael N. Barber, Phase transitions in two dimensions Physics Reports. ,vol. 59, pp. 375- 409 ,(1980) , 10.1016/0370-1573(80)90026-5
A. B. Harris, T. C. Lubensky, W. K. Holcomb, C. Dasgupta, Renormalization-Group Approach to Percolation Problems. Physical Review Letters. ,vol. 35, pp. 327- 330 ,(1975) , 10.1103/PHYSREVLETT.35.327
Eytan Domany, M. Schick, J. S. Walker, Classification of Order-Disorder Transitions in Common Adsorbed Systems: Realization of the Four-State Potts Model Physical Review Letters. ,vol. 38, pp. 1148- 1151 ,(1977) , 10.1103/PHYSREVLETT.38.1148
B Nienhuis, E K Riedel, M Schick, Variational renormalisation-group approach to the q-state Potts model in two dimensions Journal of Physics A. ,vol. 13, ,(1980) , 10.1088/0305-4470/13/2/006
S F Edwards, P W Anderson, Theory of spin glasses Journal of Physics F: Metal Physics. ,vol. 5, pp. 965- 974 ,(1975) , 10.1088/0305-4608/5/5/017