  Monte Carlo simulations are performed to study the properties of type-II
superconducting films in a magnetic field in which the vortices move in the
two-dimensional geometry represented by the surface of a sphere. No numerical
evidence is found for any melting transition, although the correlation length
over which vortex crystalline order exists grows as the temperature is reduced.
At low temperatures, the relaxation timescales are of an Arrhenius form which
can be associated with the creation of dislocations of a size comparable to the
correlation length.
