Reply to Morse and Charbonneau on "Explicit analytical solution for random close packing in $d=2$ and $d=3$"
Statistical Mechanics
2022-01-27 v1 Soft Condensed Matter
Abstract
A Comment by Morse and Charbonneau shows that our recent analytical solution to the random close packing (RCP) problem is in good agreement with packings data in dimensions but deviates from the data for . In this Reply we argue, using results related to the Lie group, that no RCP solution based on contact numbers and marginal stability is expected to capture RCP in large space dimensions where a large gap exists between nearest neighbours already at . The fact remains that the result in [A. Zaccone, Phys. Rev. Lett. 128, 028002 (2022)] is currently the only simple analytical solution to the RCP problem based on statistical arguments, which captures a good deal of the underlying physics in .
Cite
@article{arxiv.2201.10951,
title = {Reply to Morse and Charbonneau on "Explicit analytical solution for random close packing in $d=2$ and $d=3$"},
author = {Alessio Zaccone},
journal= {arXiv preprint arXiv:2201.10951},
year = {2022}
}