Abstract
By analytical and numerical methods we investigate the late stage deposition of binary mixtures of oriented "superdisks" on a plane. Superdisks are objects bounded by Lamé curves |x|2p + |y|2p=1, where deformation parameter p controls their size and shape. For deposition of single-type superdisks, the maximum packing and jamming densities are known to be nonanalytic at p=0.5. For binary mixtures of superdisks, 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. The corresponding saturation coverages are obtained by extensive numerical Monte Carlo simulations.
Original language | English |
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Article number | 16284 |
Pages (from-to) | 93-99 |
Number of pages | 7 |
Journal | Physica A: Statistical Mechanics and its Applications |
Volume | 441 |
DOIs | |
Publication status | Published - 1 Jan 2016 |
Externally published | Yes |
Keywords
- Dense packing
- Exact results
- Jamming properties
- Mixtures
- Object deposition
- Superdisks