# Critical scaling for yield is independent from distance to isostaticity

## TL;DR

This study shows that the critical behavior of yielding in soft particle packings is independent of how close the system is to the isostatic point, revealing a distinct nonequilibrium critical transition.

## Contribution

It demonstrates that the critical scaling for yielding is universal across different pressures, independent of the isostaticity proximity, contrasting with previous isostatic critical transition studies.

## Key findings

- Critical scaling functions are nearly independent of pressure.
- Diverging length scale follows a9 a9 |a9-a9_c|^{-
u}.
- Yielding is a distinct nonequilibrium critical transition.

## Abstract

Using discrete element simulations, we demonstrate that critical behavior for yielding in soft disk and sphere packings is independent of distance to isostaticity over a wide range of dimensionless pressures. Jammed states are explored via quasistatic shear at fixed pressure, and the statistics of the dimensionless shear stress $\mu$ of these states obey a scaling description with diverging length scale $\xi \propto |\mu-\mu_c|^{-\nu}$. The critical scaling functions and values of the scaling exponents are nearly independent of distance to isostaticity despite the large range of pressures studied. Our results demonstrate that yielding of jammed systems represents a distinct nonequilibrium critical transition from the isostatic critical transition which has been demonstrated by previous studies. Our results may also be useful in deriving nonlocal rheological descriptions of granular materials, foams, emulsions, and other soft particulate materials.