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(Seminar) Origin of the Jamming Scaling Exponents
2019-07-14  【 】【打印】【關閉

CAS Key Laboratory of Theoretical Physics

Institute of Theoretical Physics

Chinese Academy of Sciences

Seminar

Title

題目

Origin of the Jamming Scaling Exponents 

Speaker

報告人

Corey S. O'Hern

Affiliation

所在單位

Yale University

Date

日期

July 14, 2019, 9:30am-11:30am
 

Venue

地點

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

所內聯系人

金瑜亮 

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