  We use computer simulations to investigate the stability of a two-component
polymer brush de-mixing on a curved template into phases of different
morphological properties. It has been previously shown via molecular dynamics
simulations that immiscible chains having different length and anchored to a
cylindrical template will phase separate into striped phases of different
widths oriented perpendicularly to the cylindrical axis. We calculate free
energy differences for a variety of stripe widths, and extract simple
relationships between the sizes of the two polymers, N_1 and N_2, and the free
energy dependence on the stripe width. We explain these relationships using
simple physical arguments based upon previous theoretical work on the free
energy of polymer brushes.
