  We report the results of large scale numerical studies of the dynamic and
static properties of the random phase model of the randomly pinned flux lines
confined in a plane. From the onset of nonlinear IV characteristics, we
identify a vortex glass transition at the theoretically anticipated
temperature. However, the vortex glass phase itself is much {\it less glassy}
than expected. No signature of the glass transition has been detected in the
static quantities measured.
