Amphiphile-rich phase in a model ternary solution on the honeycomb lattice

A model three-component system is considered in which the bonds of a honeyc omb lattice are covered by bifunctional molecules of types AA, BB, and AB. The AB type molecule represents an amphiphile. An accurate approximation to the boundary in temperature-composition space of an ordered amphiphile-ric h phase is calculated by transforming an accurate closed-form approximation of the critical frontier of an antiferromagnetic phase in an equivalent Is ing model. This Ising model has coupling constants and a magnetic field tha t are temperature dependent. (C) 2001 American Institute of Physics.