We use numerical Monte Carlo simulation to study the kinetics of the deposition of oriented superdisks, bounded by the Lame curves of the form |x|(2p)+|y|(2p)=1 on a regular planar substrate. Recently, it was shown that the maximum packing density as well as jamming density ρ(J) exhibit a discontinuous derivative at p=0.5 when the shape changes from convex to concave form. By careful examination of the late-stage approach to the jamming limit, we find that the leading term in the temporal development is also nonanalytic at p=0.5 and offer heuristic excluded-area arguments for this behavior.
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