Densest versus Jammed Packings of Two-Dimensional Bent-Core Trimers

Document Type

Article

Publication Date

10-2018

Digital Object Identifier (DOI)

https://doi.org/10.1103/PhysRevE.98.042910

Abstract

We identify the maximally dense lattice packings of tangent-disk trimers with fixed bond angles (θ = θ0) and contrast them to both their nonmaximally-dense-but-strictly-jammed lattice packings as well as the disordered jammed states they form for a range of compression protocols. While only θ0 = 0, 60◦, and 120◦ trimers can form the triangular lattice, maximally-dense maximally-symmetric packings for all θ0 fall into just two categories distinguished by their bond topologies: half-elongated-triangular for 0 < θ0 < 60◦ and elongated-snub-square for 60◦ < θ0 < 120◦. The presence of degenerate, lower-symmetry versions of these densest packings combined with several families of less-dense-but-strictly jammed lattice packings act in concert to promote jamming.

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Citation / Publisher Attribution

Physical Review E, v. 98, issue 4, art. 042910

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