Abstract
The field-temperature phase diagram of a two-dimensional, three-spin interaction Ising model is studied using two different methods: mean field approximation and numerical transfer matrix techniques. The former leads to a rather rich phase diagram in which two separate phases with different symmetries can be found, and which presents first-order transition lines, a triple point, and a critical end point, like the solid-liquid-gas phase diagram of a pure compound. The numerical transfer matrix study confirms part of these results, but does not clearly evidence the existence of the less symmetric phase.
Similar content being viewed by others
References
G. S. Rushbrooke, inPhysics of Simple Liquids, H. N. V. Temperley, J. S. Rowlingson, and G. S. Rushbrooke, eds. (North-Holland, Amsterdam, 1968), p. 25.
W. H. Weinberg,Ann. Rev. Phys. Chem. 34:217 (1983).
E. Domany and W. Kinzel,Phys. Rev. Lett. 53:311 (1984).
R. J. Baxter and F. Y. Wu,Phys. Rev. Lett. 31:1294 (1973).
A. Hintermann and D. Merlini,Phys. Lett. 41A:208 (1972).
S. Frøyenet al, Physica 85A:399 (1976).
J. Dóczi-Réger and P. C. Hemmer,Physica 109A:541 (1981).
R. Bidaux and N. Boccara, to be published.
R. B. Griffiths, inPhase Transitions and Critical Phenomena, Vol. 1, C. Domb and M. S. Green, eds. (Academic Press, New York, 1972).
C. J. Hamer and N. B. Barber,J. Phys. A 13:L-169 (1980);14:241,259 (1981).
H. Hilhorst, private communication.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Bidaux, R., Boccara, N. & Forgàcs, G. Three-spin interaction Ising model with a nondegenerate ground state at zero applied field. J Stat Phys 45, 113–134 (1986). https://doi.org/10.1007/BF01033081
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01033081