Effects of particle-size ratio on jamming of binary mixtures

TL;DR

This study systematically investigates how the particle-size ratio affects the jamming transition in binary mixtures, revealing that while critical scaling remains consistent, structural properties and jamming density vary with size ratio.

Contribution

It provides new insights into the influence of particle-size ratio on jamming behavior and structure in binary mixtures, extending understanding beyond previous studies.

Findings

Critical scaling of pressure and coordination number is unaffected by size ratio.

Jamming volume fraction varies with particle-size ratio.

Static structure factor exhibits distinct behaviors for different size ratios.

Abstract

We perform a systematic numerical study of the effects of the particle-size ratio $R \ge 1$ on the properties of jammed binary mixtures. We find that changing $R$ does not qualitatively affect the critical scaling of the pressure and coordination number with the compression near the jamming transition, but the critical volume fraction at the jamming transition varies with $R$. Moreover, the static structure factor (density correlation) $S(k)$ strongly depends on $R$ and shows distinct long wave-length behaviors between large and small particles. Thus the previously reported behavior of $S(k)\sim k$ in the long wave-length limit is only a special case in the $R\to 1$ limit, and cannot be simply generalized to jammed systems with $R>1$.