A second-order phase transition in a monolayer of rectangle particles

Summary To describe the surface pressure-area isotherms of monolayers of amphiphilic molecules a two-dimensional gas of rectangular particles is proposed. Using theZwanzig's simplication of theOnsager's virial expansion analysis we found a second-order transition. Then introducing attractive potentials of different shapes, surrounding the hard core we may change the position of the critical points. The calculated isotherms have similar profiles than those obtained experimentally. With the more refined potential well, this depending on the area overlap of the wells, the interaction parameters have the same order of magnitude than those given in the literature. It is shown that this orientational transition is obtained only with particles which are asymmetrical enough.On leave from UER Pluridisciplinaire de Luminy Université d'Aix-Marseille II.