Rate-Dependent Avalanche Size in Athermally Sheared Amorphous Solids

TL;DR

This study investigates how avalanche sizes in amorphous solids depend on shear rate, revealing a power-law scaling that persists across different strain rates through extensive numerical simulations.

Contribution

It introduces a prediction that avalanche size scales as the inverse of shear rate raised to the power of the dimension, supported by finite size analysis.

Findings

Avalanche size scales as  extbackslash d of shear rate.

Flip-flip correlations remain relevant at all realistic strain rates.

Finite size analysis confirms the scaling prediction.

Abstract

We perform an extensive numerical study of avalanche behavior in a 2D LJ glass at T=0, sheared at finite strain rates $\dot\gamma$. From the finite size analysis of stress fluctuations and of transverse diffusion we show that flip-flip correlations remain relevant at all realistic strain rates. We predict that the avalanche size scales as $\dot\gamma^{-1/d}$, with $d$ the space dimension.