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サイトウ クニヤス
Kuniyasu Saitoh
齊藤 国靖 所属 京都産業大学 理学部 物理科学科 職種 教授 |
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| 言語種別 | 英語 |
| 発行・発表の年月 | 2020/11 |
| 形態種別 | 研究論文 |
| 標題 | Structural and mechanical characteristics of sphere packings near the jamming transition: From fully amorphous to quasiordered structures |
| 執筆形態 | その他 |
| 掲載誌名 | Physical Review Materials |
| 出版社・発行元 | AMER PHYSICAL SOC |
| 巻・号・頁 | 4(11) |
| 著者・共著者 | Hideyuki Mizuno,Kuniyasu Saitoh,Leonardo E. Silbert |
| 概要 | Mechanically stable sphere packings are generated in three-dimensional space using the discrete element method, which spans a wide range in structural order, ranging from fully amorphous to quasiordered structures, as characterized by the bond orientational order parameter. As the packing pressure p varies from the marginally rigid limit at the jamming transition (p approximate to 0) to that of more robust systems (p >> 0), the coordination number z follows a familiar scaling relation with pressure, namely, Delta z = z - z(c) similar to p(1/2), where z(c) = 2d = 6 (d = 3 is the spatial dimension). While it has previously been noted that Delta z does indeed remain the control parameter for determining the packing properties, here we show how the packing structure plays an influential role on the mechanical (elastic) properties of the packings. Specifically, we find that the elastic (bulk K and shear G) moduli, generically referred to as M, become functions of both Delta z and the structure, to the extent that M - M-c similar to Delta z. Here, Mc are values of the elastic moduli at the jamming transition, which depend on the structure of the packings. In particular, the zero shear modulus, G(c) = 0, is a special feature of fully amorphous packings, whereas more ordered packings take larger positive values, G(c) > 0. The finite G(c) > 0 in the ordered packings excites acoustic vibrations which add to floppylike modes controlled by Az and enhance the plateau in the vibrational density of states. |
| DOI | 10.1103/PhysRevMaterials.4.115602 |
| ISSN | 2475-9953 |