Abstract
Two Ising models on a rectangular lattice (${\ensuremath{\sigma}}_{1}$ model and ${\ensuremath{\sigma}}_{2}$ model) linked to three- and four-spin interactions are used to describe the sequence of tilted phase transitions in monolayers of amphiphilic long-chain molecules on an air-water surface. Starting from Morse atom-atom potentials self-consistent equations for basic thermal averages are derived in terms of a mean-field approximation. We employ the model for $\mathrm{C}{\mathrm{H}}_{3}{(\mathrm{C}{\mathrm{H}}_{2})}_{18}\mathrm{C}\mathrm{O}\mathrm{O}\mathrm{H}$ at two values of the molecule density and obtain all known tilted phases, including an intermediate one.
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