TY - JOUR
T1 - Kinetics of deposition of oriented superdisks
AU - Aleksić, Branislav N.
AU - Švrakić, N. M.
AU - Belić, M.
PY - 2013/12/6
Y1 - 2013/12/6
N2 - 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 ρJ 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.
AB - 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 ρJ 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.
UR - http://www.scopus.com/inward/record.url?scp=84890450519&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.88.062112
DO - 10.1103/PhysRevE.88.062112
M3 - Article
AN - SCOPUS:84890450519
SN - 1539-3755
VL - 88
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 6
M1 - 062112
ER -