Coexisting thermodynamic phases of lipid molecules at the air-water in
terface exhibit domains with a variety of sizes and shapes. Both the s
izes and shapes of these domains are affected by a competition between
a line tension and long-range dipole-dipole repulsion. In the case of
coexisting liquid phases, line tension favors large, circular domains
, whereas the dipolar repulsions favor small and/or highly elongated d
omains. The present work discusses the thermodynamics of the equilibri
um size and shape of these domains. It is shown that whereas there is
only one stable equilibrium domain size, there is an infinite number o
f sizes that represent metastable equilibrium at different monolayer p
ressures. Circular domains that are far enough apart as to not interac
t with one another electrostatically have the same radii under this co
ndition of metastable equilibrium. It is shown that, in principle, the
metastable equilibrium radius reached in a monolayer can depend on th
e initial distribution of nonequilibrium domain sizes. Domains formed
in multicomponent lipid mixtures are shown to have lipid compositions
in the vicinity of the domain boundaries that are different from the b
ulk lipid compositions. These composition variations tend to stabilize
domains with different radii under conditions of metastable equilibri
um.