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An unexplored valley of binary packing: The loose jamming state

2022/05/04 by Suo, Si, Zhai, Chongpu, Xu, Minglong +2
#Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Soft Condensed Matter (cond-mat.soft)

paper · doi:10.48550/arxiv.2205.01934

Abstract

We present a theoretical prediction on random close packing factor ϕRCPb of binary granular packings based on the hard-sphere fluid theory. An unexplored regime is unravelled, where the packing fraction ϕRCPb is smaller than that of the mono-sized one ϕRCPm, i.e., the so-called loose jamming state. This is against our common perception that binary packings should always reach a denser packing than mono-sized packings at the jamming state. Numerical evidence further supports this prediction and confirms the regime location in the size ratio and mole fraction (Rr-Xs) space, where the size ratio Rr is close to 1, and the mole fraction of the smaller sphere Xs close to 0. This extreme regime remains unreported in existing literature, yet significant for our fundamental understanding of binary packing systems.

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