Kinetics of deposition of oriented superdisks Academic Article uri icon

abstract

  • 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.

author list (cited authors)

  • Aleksić, B. N., Švrakić, N. M., & Belić, M.

citation count

  • 3

publication date

  • December 2013