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arXiv 1808.08488cond-mat.soft
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2D三核三聚体的密度与堵塞填料

Densest vs. jammed packings of 2D bent-core trimers

Austin D. Griffith, Robert S. Hoy

摘要:

我们确定了最大密度的晶格填充的切线盘三聚体与固定键角($θ= θ_0$),并将它们与它们的非最大密度,但严格堵塞的晶格填充以及无序堵塞的状态,他们形成了一系列的压缩协议。虽然只有$θ_0 = 0,\ 60^\circ,\ \rm{and}\ 120^\circ$三聚体可以形成三角形晶格,但所有$θ_0$的最大密度最大对称填充仅分为两类,它们的键拓扑结构不同:$0 < θ_0 < 60^\circ$的半伸长三角形和$60^\circ < θ_0 < 120^\circ$的伸长短方形。简并的存在下,较低的对称性版本,这些densitivepackings结合几个家庭的密度较低,但严格堵塞的晶格填料的行为一致,以促进堵塞。

英文摘要:

We identify the maximally dense lattice packings of tangent-disk trimers with fixed bond angles ($θ= θ_0$) 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 $θ_0 = 0,\ 60^\circ,\ \rm{and}\ 120^\circ$ trimers can form the triangular lattice, maximally-dense maximally-symmetric packings for all $θ_0$ fall into just two categories distinguished by their bond topologies: half-elongated-triangular for $0 < θ_0 < 60^\circ$ and elongated-snub-square for $60^\circ < θ_0 < 120^\circ$. 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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