Generating ultradense jammed ellipse packings using biased SWAP
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916413870964736 |
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| author | Hoy, Robert S. |
| author_facet | Hoy, Robert S. |
| contents | Using a Lubachevsky-Stillinger-like growth algorithm combined with biased SWAP Monte Carlo and transient degrees of freedom, we generate ultradense disordered jammed ellipse packings. For all aspect ratios $α$, these packings exhibit significantly smaller intermediate-wavelength density fluctuations and greater local nematic order than their less-dense counterparts. The densest packings are disordered despite having packing fractions $ϕ_{\rm J}(α)$ that are within less than 0.5% of that of the monodisperse-ellipse crystal [$ϕ_{\rm xtal} = π/(2\sqrt{3}) \simeq .9069$] over the range $1.25 \lesssim α\lesssim 1.4$ and coordination numbers $Z_{\rm J}(α)$ that are within less than 0.5% of isostaticity [$Z_{\rm iso} = 6$] over the range $1.3 \lesssim α\lesssim 2.0$. Lower-$α$ packings are strongly fractionated and consist of polycrystals of intermediate-size particles, with the largest and smallest particles isolated at the grain boundaries. Higher-$α$ packings are also fractionated, but in a qualitatively-different fashion; they are composed of increasingly-large locally-nematic domains reminiscent of liquid glasses. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_19196 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Generating ultradense jammed ellipse packings using biased SWAP Hoy, Robert S. Soft Condensed Matter Using a Lubachevsky-Stillinger-like growth algorithm combined with biased SWAP Monte Carlo and transient degrees of freedom, we generate ultradense disordered jammed ellipse packings. For all aspect ratios $α$, these packings exhibit significantly smaller intermediate-wavelength density fluctuations and greater local nematic order than their less-dense counterparts. The densest packings are disordered despite having packing fractions $ϕ_{\rm J}(α)$ that are within less than 0.5% of that of the monodisperse-ellipse crystal [$ϕ_{\rm xtal} = π/(2\sqrt{3}) \simeq .9069$] over the range $1.25 \lesssim α\lesssim 1.4$ and coordination numbers $Z_{\rm J}(α)$ that are within less than 0.5% of isostaticity [$Z_{\rm iso} = 6$] over the range $1.3 \lesssim α\lesssim 2.0$. Lower-$α$ packings are strongly fractionated and consist of polycrystals of intermediate-size particles, with the largest and smallest particles isolated at the grain boundaries. Higher-$α$ packings are also fractionated, but in a qualitatively-different fashion; they are composed of increasingly-large locally-nematic domains reminiscent of liquid glasses. |
| title | Generating ultradense jammed ellipse packings using biased SWAP |
| topic | Soft Condensed Matter |
| url | https://arxiv.org/abs/2409.19196 |