We carry out extensive Monte Carlo simulations of the Coulomb gas dual
to the uniformly frustrated two-dimensional XY model, for a sequence
of frustrations f converging to the irrational (3 - root 5)/2. We find
in these systems a sharp first order equilibrium phase transition to
an ordered vortex structure at a T-c which varies only slightly with f
. This ordered vortex structure remains, in general, phase incoherent
until a lower vortex pinning transition T-p(f) that varies with f. We
argue that the glassy behaviors reported for this model in earlier sim
ulations are dynamic effects.