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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 | 2015 |
| 形態種別 | 研究論文 |
| 査読 | 査読あり |
| 標題 | A Master equation for the probability distribution functions of forces in soft particle packings |
| 執筆形態 | その他 |
| 掲載誌名 | SOFT MATTER |
| 出版社・発行元 | ROYAL SOC CHEMISTRY |
| 巻・号・頁 | 11(7),pp.1253-1258 |
| 著者・共著者 | Kuniyasu Saitoh,Vanessa Magnanimo,Stefan Luding |
| 概要 | We study the microscopic response of force-chain networks in jammed soft particles to quasi-static isotropic (de) compressions by molecular dynamics simulations. We show that not only contacts but also interparticle gaps between the nearest neighbors must be considered for the stochastic evolution of the probability distribution functions (PDFs) of forces, where the mutual exchange of contacts and interparticle gaps, i.e. opening and closing contacts, are also crucial to the incremental system behavior. By numerically determining the transition rates for all changes of contacts and gaps, we formulate a Master equation for the PDFs of forces, where the insight one gets from the transition rates is striking: the mean change of forces reflects non-affine system responses, while their fluctuations obey uncorrelated Gaussian statistics. In contrast, interparticle gaps react mostly affine in average, but imply multi-scale correlations according to a much wider stable distribution function. |
| DOI | 10.1039/c4sm02452d |
| ISSN | 1744-683X/1744-6848 |