The are erosion of two samples cut from an insulating tile mounted in
the region of the most intense energy delivery to the divertor plate i
n the DIII-D tokamak is examined. The surface material was a boron-car
bide coating on a graphite base. The dimensions of the cathode-spot tr
acks are determined, and the total erosion produced by an individual a
re discharge is estimated. For typical dimensions of melted craters, t
he parameters of the heat source are estimated. The role of polarizati
on currents related to the ion inertia in carrying a current across th
e magnetic field in the cathode region of the unipolar are is discusse
d.