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Comment on "Explicit Analytical Solution for Random Close Packing in d=2 and d=3", Physical Review Letters {\bf 128}, 028002 (2022)

Disordered Systems and Neural Networks 2022-02-15 v4 Soft Condensed Matter Mathematical Physics math.MP

Abstract

The method, proposed in \cite{Za22} to derive the densest packing fraction of random disc and sphere packings, is shown to yield in two dimensions too high a value that (i) violates the very assumption underlying the method and (ii) corresponds to a high degree of structural order. The claim that the obtained value is supported by a specific simulation is shown to be unfounded. One source of the error is pointed out.

Keywords

Cite

@article{arxiv.2201.10550,
  title  = {Comment on "Explicit Analytical Solution for Random Close Packing in d=2 and d=3", Physical Review Letters {\bf 128}, 028002 (2022)},
  author = {Raphael Blumenfeld},
  journal= {arXiv preprint arXiv:2201.10550},
  year   = {2022}
}

Comments

1 page, supplemental material is referenced, typo corrected