  The Majorana Demonstrator searches for neutrinoless double-beta decay of
$^{76}$Ge using arrays of high-purity germanium detectors. If observed, this
process would demonstrate that lepton number is not a conserved quantity in
nature, with implications for grand-unification and for explaining the
predominance of matter over antimatter in the universe. A problematic
background in such large granular detector arrays is posed by alpha particles.
In the Majorana Demonstrator, events have been observed that are consistent
with energy- degraded alphas originating on the passivated surface, leading to
a potential background contribution in the region-of-interest for neutrinoless
double-beta decay. However, it is also observed that when energy deposition
occurs very close to the passivated surface, charges drift through the bulk
onto that surface, and then drift along it with greatly reduced mobility. This
leads to both a reduced prompt signal and a measurable change in slope of the
tail of a recorded pulse. In this contribution we discuss the characteristics
of these events and the development of a filter that can identify the
occurrence of this delayed charge recovery, allowing for the efficient
rejection of passivated surface alpha events in analysis.
