Abstract
A model three-component system is considered in which the bonds of a honeycomb lattice are covered by rodlike molecules of typesAA, BB, andAB. The ends of molecules near a common lattice site interact with energiesɛ AA,ɛ BB, andɛ AB. The model is equivalent to an Ising model on the 3–12 lattice. Exact results are obtained for the two-phase coexistence curves in the isothermal composition plane.
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References
J. C. Wheeler and B. Widom,J. Am. Chem. Soc. 90:3064 (1968).
B. Widom,J. Phys. Chem. 88:6508 (1984).
D. A. Huckaby and J. M. Kowalski,Phys. Rev. A 30:2121 (1984).
D. A. Huckaby, J. M. Kowalski, and M. Shinmi,J. Phys. A 18:3585 (1985).
T. D. Lee and C. N. Yang,Phys. Rev. 87:410 (1952).
I. Syozi, inPhase Transitions and Critical Phenomena, Vol. 1, C. Domb and M. S. Green, eds. (Academic Press, New York, 1972).
I. Syozi,Rev. Kobe Univ. Mercantile Marine 2:21 (1955).
M. E. Fisher,Phys. Rev. 113:969 (1959).
D. A. Huckaby,J. Phys. C, in press.
R. M. F. Houtappel,Physica 16:425 (1950).
S. Naya,Prog. Theor. Phys. 11:53 (1954).
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Huckaby, D.A., Shinmi, M. Exact solution of a three-component system on the honeycomb lattice. J Stat Phys 45, 135–144 (1986). https://doi.org/10.1007/BF01033082
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DOI: https://doi.org/10.1007/BF01033082