A realistic model of triblock Janus particles, in
which a cross-linked polystyrene sphere capped at the poles
with hydrophobic n-hexyl groups and in the equatorial region
with charges, is used to study the phase equilibrium boundaries
for stabilities of quasi-two-dimensional liquid, Kagome, and
hexagonal phases. The pole patches provide interparticle
attraction, and the equatorial patches provide interparticle
repulsion. The self-assembly has been studied in the presence
of solvent, charges, and a supporting surface. An advanced
sampling many-body dissipative particle dynamics simulation
scheme, with the inclusion of many-body and hydrodynamic
interactions, has been employed to drive the system from
liquid to solid phases and vice versa. Our calculated phase
diagrams indicate that, in the limit of narrow pole patch widths (opening angle ?65°), the Janus particles self-assemble to the
more stable Kagome phase. The entropy-stabilized Kagome lattice is more stable than the hexagonal phase at higher
temperatures. Increasing the pressure stabilizes the denser hexagonal versus the Kagome lattice. Enlarging the pole patch width
(varying the opening angle from 65° to 120°) promotes the bonding area and, hence, energetically stabilizes the close-packed
hexagonal versus the open Kagome lattice. A comparison with previous calculations, using the Kern?Frenkel potential, has been
done and discussed.