Shape transformations of two-component membranes under weak tension

Domain formation and phase transitions are investigated in two-component me mbranes of planar topology in the strong-segregation limit. The composition of a membrane is coupled to the spontaneous curvature. The stability of va rious spatially periodic phases, formed by domains of one component, is exa mined systematically as a function of composition, the ratio of spontaneous curvatures of both components, and the surface tension. We nd new stable p hases composed of one- and two-bead buds and new phase transition between t hese phases.