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Comment on "Explicit Analytical Solution for Random Close Packing in $d = 2$ and $d = 3$"

Statistical Mechanics 2025-09-01 v1 Soft Condensed Matter

Abstract

A recent letter titled "Explicit Analytical Solution for Random Close Packing in d=2 and d=3" published in Physical Review Letters proposes a first-principle computation of the random close packing (RCP) density in spatial dimensions d=2 and d=3. This problem has a long history of such proposals, but none capture the full picture. This paper, in particular, once generalized to all d fails to describe the known behavior of jammed systems in d>4, thus suggesting that the low-dimensional agreement is largely fortuitous.

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Cite

@article{arxiv.2201.07629,
  title  = {Comment on "Explicit Analytical Solution for Random Close Packing in $d = 2$ and $d = 3$"},
  author = {Patrick Charbonneau and Peter K. Morse},
  journal= {arXiv preprint arXiv:2201.07629},
  year   = {2025}
}

Comments

2 pages, 1 figure

R2 v1 2026-06-24T08:55:16.127Z