Abstract
We numerically study dynamics of shape deformations of vesicles resulting from intramembrane phase separation. At off-critical compositions resultant vesicle shapes closely resemble the echinocytosis of red blood cells, while at the critical composition a bicontinuous domain structure emerges. The coarsening process of domain structures on such a deformable surface is considerably slower than that on a rigid surface. The total length of domain boundaries NDB decreases as t1/3 for the rigid sphere, whereas in the present system NDBtz (z0.1) at the late stage due to the coupling between the shape and the phase separation.