English

An unexplored valley of binary packing: The loose jamming state

Soft Condensed Matter 2022-05-05 v1 Disordered Systems and Neural Networks

Abstract

We present a theoretical prediction on random close packing factor \phi_RCP^b of binary granular packings based on the hard-sphere fluid theory. An unexplored regime is unravelled, where the packing fraction \phi_RCP^b is smaller than that of the mono-sized one \phi_RCP^m, i.e., the so-called loose jamming state. This is against our common perception that binary packings should always reach a denser packing than mono-sized packings at the jamming state. Numerical evidence further supports this prediction and confirms the regime location in the size ratio and mole fraction (R_r-X_s) space, where the size ratio R_r is close to 1, and the mole fraction of the smaller sphere X_s close to 0. This extreme regime remains unreported in existing literature, yet significant for our fundamental understanding of binary packing systems.

Keywords

Cite

@article{arxiv.2205.01934,
  title  = {An unexplored valley of binary packing: The loose jamming state},
  author = {Si Suo and Chongpu Zhai and Minglong Xu and Marc Kamlah and Yixiang Gan},
  journal= {arXiv preprint arXiv:2205.01934},
  year   = {2022}
}