English

Confined disordered strictly jammed binary sphere packings

Statistical Mechanics 2015-12-31 v1 Soft Condensed Matter

Abstract

Disordered jammed packings under confinement have received considerably less attention than their \textit{bulk} counterparts and yet arise in a variety of practical situations. In this work, we study binary sphere packings that are confined between two parallel hard planes, and generalize the Torquato-Jiao (TJ) sequential linear programming algorithm [Phys. Rev. E {\bf 82}, 061302 (2010)] to obtain putative maximally random jammed (MRJ) packings that are exactly isostatic with high fidelity over a large range of plane separation distances HH, small to large sphere radius ratio α\alpha and small sphere relative concentration xx. We find that packing characteristics can be substantially different from their bulk analogs, which is due to what we term "confinement frustration". Rattlers in confined packings are generally more prevalent than those in their bulk counterparts. We observe that packing fraction, rattler fraction and degree of disorder of MRJ packings generally increase with HH, though exceptions exist. Discontinuities in the packing characteristics as HH varies in the vicinity of certain values of HH are due to associated discontinuous transitions between different jammed states. We also apply the local volume-fraction variance στ2(R)\sigma_{\tau}^2(R) to characterize confined packings and find that these packings possess essentially the same level of hyperuniformity as their bulk counterparts. Our findings are generally relevant to confined packings that arise in biology (e.g., structural color in birds and insects) and may have implications for the creation of high-density powders and improved battery designs.

Keywords

Cite

@article{arxiv.1512.08740,
  title  = {Confined disordered strictly jammed binary sphere packings},
  author = {Duyu Chen and Salvatore Torquato},
  journal= {arXiv preprint arXiv:1512.08740},
  year   = {2015}
}
R2 v1 2026-06-22T12:19:36.569Z