Abstract
A model is considered in which the bonds of a lattice are covered by rodlike molecules. Neighboring molecular ends interact with orientation-dependent interactions. The model exhibits closed -loop phase diagrams and double critical points. Exact coexistence surfaces are calculated for the model on the Bethe, honeycomb, and square lattices. The nature of the doubling of the critical exponentβ near a double critical point is calculated. The behavior of the critical line in the neighborhood of a double critical point is calculated exactly.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
J. T. Bartis and C. K. Hall,Physica 78:1 (1974).
J. C. Wheeler,Annu. Rev. Phys. Chem. 28:411 (1977).
J. C. Wheeler and G. R. Anderson,J. Chem. Phys. 73:5778 (1980).
R. E. Goldstein and J. S. Walker,J. Chem. Phys. 78:1492 (1983).
J. S. Walker and C. A. Vause,J. Chem. Phys. 79:2660 (1983).
R. E. Goldstein,J. Chem. Phys. 79:4439 (1983).
D. A. Huckaby and M. Shinmi,J. Chem. Phys. 90:5675 (1989).
R. G. Johnston, N. A. Clark, P. Wiltzius, and D. S. Cannell,Phys. Rev. Lett. 54:49 (1985).
C. M. Sorensen and G. A. Larsen,J. Chem. Phys. 83:1835 (1985).
A. Kumar, S. Guha, and E. S. R. Gopal,Phys. Lett. A 123:489 (1987).
R. B. Griffiths and J. C. Wheeler,Phys. Rev. A 2:1047 (1970).
D. A. Huckaby and M. Shinmi,J. Stat. Phys. 45:135 (1986).
M. Shinmi and D. A. Huckaby,J. Phys. A 20:L465 (1987).
D. A. Huckaby, M. Shinmi, and V. A. Belfi,Physica A 154:521 (1989).
B. Widom,J. Chem. Phys. 46:3324 (1967).
R. J. Baxter and T. C. Choy,J. Phys. A 21:2143 (1988).
K. Y. Lin,Phys. Lett. A 128:35 (1988).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Huckaby, D.A., Shinmi, M. Exact coexistence surfaces containing double critical points for a three-component solution on the Bethe, honeycomb, and square lattices. J Stat Phys 60, 347–361 (1990). https://doi.org/10.1007/BF01314925
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01314925