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A Comment by R. Blumenfeld on our recent analytical solution for the random close packing density [A. Zaccone, Phys. Rev. Lett. 128, 028002 (2022)] is shown to be plagued by important errors and to contain incorrect statements.

Disordered Systems and Neural Networks · Physics 2022-08-25 Alessio Zaccone

I comment on Zaccone, Phys. Rev. Lett. {\bf 128}, 028002 (2022) highlighting a flaw in the derivation that led to a spurious divergent factor. This renders the derivation of the random close packing density invalid.

Soft Condensed Matter · Physics 2022-07-19 W. Till Kranz

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…

Statistical Mechanics · Physics 2025-09-01 Patrick Charbonneau , Peter K. Morse

In this short commentary we provide our comment on the article "Explicit Analytical Solution for Random Close Packing in $d=2$ and $d=3$" and its subsequent Erratum that are recently published in Physical Review Letters. In that Letter, the…

Soft Condensed Matter · Physics 2022-08-03 Duyu Chen , Ran Ni

A recent Comment by W. T. Kranz is shown to be plagued by a serious mathematical error which makes its conclusions invalid.

Soft Condensed Matter · Physics 2022-08-30 A. Zaccone

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 $d<6$ but deviates from the data for $d\geq6$. In this Reply we…

Statistical Mechanics · Physics 2022-01-27 Alessio Zaccone

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)…

Disordered Systems and Neural Networks · Physics 2022-02-15 Raphael Blumenfeld

We present an analytical derivation of the volume fractions for random close packing (RCP) in both $d=3$ and $d=2$, based on the same methodology. Using suitably modified nearest neigbhour statistics for hard spheres, we obtain…

Soft Condensed Matter · Physics 2022-01-13 Alessio Zaccone

We respond to a Comment on our recent paper (Phys.Rev.C77:024304,2008) by Paar (arXiv:0803.0274).

Nuclear Theory · Physics 2008-11-26 C. Barbieri , E. Caurier , K. Langanke , G. Martínez-Pinedo

An analytical theory for the random close packing density, $\phi_\textrm{RCP}$, of polydisperse hard disks is provided using an equilibrium model of crowding [A. Zaccone, Phys. Rev. Lett. 128, 028002 (2022)] which has been justified on the…

Soft Condensed Matter · Physics 2025-02-17 Alessio Zaccone

We reply to a comment of Van Enter, Kuelske and Maes (cond-mat/0005176) on our letter "Critical Behavior of the Randomly Spin-Diluted 2-d Ising Model - A Grand Ensemble Approach", Phys. Rev. Lett. {\bf 73}, 2268-2271 (1994).

Statistical Mechanics · Physics 2009-10-31 Reimer Kuehn , Giorgio Mazzeo

It is shown that a recent article by Z.-D. Zhang [arXiv:0705.1045] is in error and violates well-known theorems.

Statistical Mechanics · Physics 2011-09-14 Jacques H. H. Perk

In this communication we refute a criticism concerning results of our work [3] that was presented in references [1] and [2].

Superconductivity · Physics 2018-10-12 A. F. Volkov , F. S. Bergeret , K. B. Efetov

A comment has been recently posted on the arXiv (arXiv:1902.07504) that discuss our recent work on encircling multiple exceptional points in Nat. Commun. 9, 4808 (2018). In that comment, the authors claim that our approach is prone to…

Quantum Physics · Physics 2019-03-19 Q. Zhong , M. Khajavikhan , D. N. Christodoulides , R. El-Ganainy

It is shown that the arguments in the reply of Z.-D. Zhang (arXiv:0812.0194) to the comment arXiv:0811.1802 defending his conjectures in arXiv:0705.1045 are invalid. His conjectures have been thoroughly disproved.

Statistical Mechanics · Physics 2011-09-14 Jacques H. H. Perk

We comment on Z. D. Zhang's Response [arXiv:0812.2330] to our recent Comment [arXiv:0811.3876] addressing the conjectured solution of the three-dimensional Ising model reported in [arXiv:0705.1045].

Statistical Mechanics · Physics 2009-11-13 F. Y. Wu , B. M. McCoy , M. E. Fisher , L. Chayes

The Response [J. Chem. Phys. 160, 187102 (2024)] of Inoue and coworkers to my Comment [J. Chem. Phys. 160, 187101 (2024)] on their original paper [J. Chem. Phys. 159, 054105 (2023)] clarifies some points put forward in my Comment, but also…

Chemical Physics · Physics 2024-06-25 Wenjian Liu

We provide a reply to a comment by I. Goychuk arXiv:1708.04155, version v2 from 27 Aug 2017 (not under active consideration with Phys. Rev. Lett.), on our Letter E. Aghion, D. A. Kessler and E. Barkai, Phys. Rev. Lett., 118, 260601 (2017).

Statistical Mechanics · Physics 2017-10-17 Erez Aghion , David A. Kessler , Eli Barkai

The Comments are devoted to the paper ``Solutions of Multitime Reaction-Diffusion PDE'' (Mathematics, vol. 10 (2022), 3623), in which main results are misleading and can be derived in a simple way from those obtained earlier. Moreover, it…

Analysis of PDEs · Mathematics 2023-02-27 Roman Cherniha

The isostatic jamming limit of frictionless spherical particles from Edwards' statistical mechanics [Song \emph{et al.}, Nature (London) {\bf 453}, 629 (2008)] is generalized to arbitrary dimension $d$ using a liquid-state description. The…

Statistical Mechanics · Physics 2010-11-29 Yuliang Jin , Patrick Charbonneau , Sam Meyer , Chaoming Song , Francesco Zamponi
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