Ultrastable jammed sphere packings with a wide range of particle dispersities

Fuente: arXiv
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Main Author: Hoy, Robert S.
Format: Preprint
Published: 2025
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author Hoy, Robert S.
author_facet Hoy, Robert S.
contents We show that for a standard continuously-polydisperse model with particle-diameter distribution $P(σ) \propto σ^{-3}$ and polydispersity index $Δ$, employing a combination of standard SWAP moves and transient degree of freedom (TDOF) moves during a Lubachevsky-Stillinger-like particle-growth process dramatically increases the generated packings' jamming densities $ϕ_{\rm J}(Δ)$ and coordination numbers $Z_{\rm J}(Δ)$, for a wide range of $Δ$. The fractional increase in $ϕ_{\rm J}(Δ)$ obtained by employing these moves first increases rapidly with $Δ$, then plateaus at $6-7\%$ over the range $0.10 \lesssim Δ\leq 50$; the obtained $ϕ_{\rm J}$ are as high as $0.747$ (for $Δ= 0.50$). These density increases are achieved without producing clearly-noticeable crystallization or increased fractionation, despite the fact that the packings are quite hyperstatic for all $Δ> 0$. SWAP and TDOF moves also reduce packings' rattler populations by as much as 99% and increase their bulk moduli by as much as 80%.
format Preprint
id arxiv_https___arxiv_org_abs_2506_16521
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Ultrastable jammed sphere packings with a wide range of particle dispersities
Hoy, Robert S.
Soft Condensed Matter
We show that for a standard continuously-polydisperse model with particle-diameter distribution $P(σ) \propto σ^{-3}$ and polydispersity index $Δ$, employing a combination of standard SWAP moves and transient degree of freedom (TDOF) moves during a Lubachevsky-Stillinger-like particle-growth process dramatically increases the generated packings' jamming densities $ϕ_{\rm J}(Δ)$ and coordination numbers $Z_{\rm J}(Δ)$, for a wide range of $Δ$. The fractional increase in $ϕ_{\rm J}(Δ)$ obtained by employing these moves first increases rapidly with $Δ$, then plateaus at $6-7\%$ over the range $0.10 \lesssim Δ\leq 50$; the obtained $ϕ_{\rm J}$ are as high as $0.747$ (for $Δ= 0.50$). These density increases are achieved without producing clearly-noticeable crystallization or increased fractionation, despite the fact that the packings are quite hyperstatic for all $Δ> 0$. SWAP and TDOF moves also reduce packings' rattler populations by as much as 99% and increase their bulk moduli by as much as 80%.
title Ultrastable jammed sphere packings with a wide range of particle dispersities
topic Soft Condensed Matter
url https://arxiv.org/abs/2506.16521