Exact results for the jammed state of binary mixtures of superdisks on the plane Academic Article

abstract

• 2015 Elsevier B.V. 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 Lam 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.

authors

• Belic, Milivoj

published proceedings

• PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

author list (cited authors)

• Svrakic, N. M., Aleksic, B. N., & Belic, M. R.

citation count

• 1

complete list of authors

• Švrakić, NM||Aleksić, Branislav N||Belić, Milivoj R

publication date

• January 2016

publisher

• Elsevier  Publisher

published in

• Physica A: Statistical Mechanics and its Applications  Journal

keywords

• Dense Packing
• Exact Results
• Jamming Properties
• Mixtures
• Object Deposition
• Superdisks

Digital Object Identifier (DOI)

• 10.1016/j.physa.2015.07.004

start page

• 93

end page

• 99

volume

• 441

issue

• C

URL

• http%3A%2F%2Fdx.doi.org%2F10.1016%2Fj.physa.2015.07.004