# Isomorph invariance of dynamics of sheared glassy systems

## TL;DR

This study demonstrates that the dynamics and stress fluctuation statistics of sheared glassy systems exhibit isomorph invariance, supporting the applicability of isomorph theory in the glassy regime and revealing avalanche signatures.

## Contribution

The paper shows that isomorph invariance extends to the sheared glassy phase, linking structure, dynamics, and stress fluctuations in this nonequilibrium state.

## Key findings

- Good collapse of statistical data confirms isomorph theory in sheared glasses.
- Stress change distributions show exponential tails invariant along isomorphs.
- Avalanche behavior signatures are consistent across isomorphic states.

## Abstract

We study hidden scale invariance in the glassy phase of the Kob-Andersen binary Lennard-Jones system. After cooling below the glass transition, we generate a so-called isomorph from the fluctuations of potential energy and virial in the NVT ensemble -- a set of density, temperature pairs for which structure and dynamics are identical when expressed in appropriate reduced units. To access dynamical features we shear the system using the SLLOD algorithm coupled with Lees-Edwards boundary conditions, and study the statistics of stress fluctuations and the particle displacements transverse to the shearing direction. We find good collapse of the statistical data showing that isomorph theory works well in this regime. The analysis of stress fluctuations, in particular the distribution of stress changes over a given strain interval, allows us to identify a clear signature of avalanche behavior in the form of an exponential tail on the negative side. This feature is also isomorph invariant. The implications of isomorphs for theories of plasticity are discussed briefly.