  Motivated by recent experiments on multi-component membranes, the growth
kinetics of domains on vesicles is theoretically studied. It is known that the
steady-state rate of coalescence cannot be obtained by taking the long-time
limit of the coalescence rate when the membrane is regarded as an infinite
two-dimensional (2D) system. The steady-state rate of coalescence is obtained
by explicitly taking into account the spherical vesicle shape. Using the
expression of the 2D diffusion coefficient obtained in the limit of small
domain size, an analytical expression for the domain growth kinetics is
obtained when the circular shape is always maintained. For large domains, the
growth kinetics is discussed by investigating the size dependence of the
coalescence rate using the expression for the diffusion coefficient of
arbitrary domain size.

Soft Condensed Matter;Chemical Physics