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| (Seminar) Origin of the Jamming Scaling Exponents |
| 2019-07-14
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| CAS Key Laboratory of Theoretical Physics | | Institute of Theoretical Physics | | Chinese Academy of Sciences | | Seminar | | Title 题目 | | Origin of the Jamming Scaling Exponents | | | Speaker 报告人 | Corey S. O'Hern | | Affiliation 所在单位 | Yale University | | Date 日期 | | July 14, 2019, 9:30am-11:30am | | | | | Venue 地点 | ITP South (New) Building 6420 | | Abstract 摘要 | The response of purely repulsive disk and sphere packings to athermal, quasistatic simple shear near jamming onset is highly nonlinear. Previous studies have shown that the ensemble-averaged static shear modulus G is nearly constant at small pressure p, and at a characteristic pressure p*, G begins to increase as a power-law G ？ p ？？, where ？？ = 0.5. Also, p* decreases with increasing system size, such that p* ？ N ？？, where ？？ = 1. Although scaling arguments have rationalized the scaling behavior of p* and G, there is currently no quantitative theoretical framework that can predict the values of the scaling exponents ？？ and ？？ that control the mechanical properties near jamming onset. Here, we describe numerical simulations of bidisperse 2D disk and 3D sphere packings near jamming onset undergoing athermal, quasistatic simple shear at fixed pressure to explain these exponents. We show that ？？ and ？？ can be understood by examining the “geometrical families” of jammed packings, which are intervals of shear or pressure where the packings maintain the same network of interparticle contacts without rearrangements. | | Contact Person 所内联系人 | |
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