Phase behavior of two-component membranes

The behavior of two-component membranes in the strong-segregation limit is investigated within the framework of the curvature energy. The composition of a membrane is coupled to the spontaneous curvature. We study both membranes of planar topology and membranes, which form a two-dimensional lattice of passages. The shape of the membrane and the shape of the domain boundary as a function of composition are calculated for several different morphologies of phase-separated domains. We predict possible phase transition between the investigated morphologies.