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The cluster investigation of the q ‐state potts model
Author(s) -
Zinenko V. I.
Publication year - 1982
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221140248
Subject(s) - potts model , cluster (spacecraft) , chiral potts curve , mean field theory , planar , discontinuity (linguistics) , statistical physics , state (computer science) , cluster expansion , first order , physics , mathematics , condensed matter physics , thermodynamics , ising model , mathematical analysis , computer science , computer graphics (images) , algorithm , programming language
The thermodynamics of the q ‐state Potts model is calculated by the cluster approximation. With two, three, and four particles as the basic cluster the free energy is obtained for any q . It is found that the transition is of the first order for all two‐dimensional and three‐dimensional Potts models. In the case of planar lattices for q = 3 and q = 4 it is found that the critical point approaches the Curie‐Weiss temperature but the discontinuity of the order parameter remains almost equal to that obtained by the mean‐field approximation.