arXiv subjects

M. Belić

Publications and source records attributed to M. Belić.

2 recordsLinked to original sources

arXiv2013

Exact results for deposition of binary mixtures of superdisks on the plane

We investigate the deposition of binary mixtures of oriented superdisks on a plane. Superdisks are chosen as objects bounded by $|x|^{2p}+|y|^{2p}=1$, where parameter $p$ controls their size and shape. For single-type superdisks, the maximum packing and jamming densities are known to be nonanalytic at $p=0.5$. For binary mixtures, we discover that nonanalyticities form a locus of points separating "phase diagram" of shape combinations into regions with different excluded-area constructions. An analytical expression for this phase boundary and exact constructions of the excluded-areas are presented.

cond-mat.soft↗

arXiv2013

Kinetics of Deposition of Oriented Superdisks

We use numerical Monte Carlo simulation to study kinetics of deposition of oriented superdisks, bounded by the Lame curves of the form $|x|^{2p}+|y|^{2p}=1$, on regular planar substrate. It was recently shown that the maximum packing density, as well as jamming density $ρ_{J}$, exhibit 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 temporal development is also nonanalytic at $p=0.5$, and offer heuristic excluded-area arguments for this behavior.

cond-mat.soft↗