English

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

Soft Condensed Matter 2019-09-04 v1

Abstract

We identify the maximally dense lattice packings of tangent-disk trimers with fixed bond angles (θ=θ0\theta = \theta_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 θ0=0, 60, and 120\theta_0 = 0,\ 60^\circ,\ \rm{and}\ 120^\circ trimers can form the triangular lattice, maximally-dense maximally-symmetric packings for all θ0\theta_0 fall into just two categories distinguished by their bond topologies: half-elongated-triangular for 0<θ0<600 < \theta_0 < 60^\circ and elongated-snub-square for 60<θ0<12060^\circ < \theta_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.

Keywords

Cite

@article{arxiv.1808.08488,
  title  = {Densest vs. jammed packings of 2D bent-core trimers},
  author = {Austin D. Griffith and Robert S. Hoy},
  journal= {arXiv preprint arXiv:1808.08488},
  year   = {2019}
}