Learning-based approach to plasticity in athermal sheared amorphous packings: Improving softness

TL;DR

This paper improves machine learning methods for predicting plastic rearrangements in amorphous solids under shear by using simpler, more interpretable structural descriptors derived from persistent homology, achieving high accuracy even with limited data.

Contribution

The authors introduce a new, more interpretable and experimentally accessible structural predictor for plasticity, enhancing the softness method with topological data analysis and simplified statistical models.

Findings

Structural predictors can accurately forecast plastic events.

Species and contact number are key predictive features.

Methods perform well with limited data.

Abstract

The plasticity of amorphous solids undergoing shear is characterized by quasi-localized rearrangements of particles. While many models of plasticity exist, the precise relationship between plastic dynamics and the structure of a particle's local environment remains an open question. Previously, machine learning was used to identify a structural predictor of rearrangements, called "softness." Although softness has been shown to predict which particles will rearrange with high accuracy, the method can be difficult to implement in experiments where data is limited and the combinations of descriptors it identifies are often difficult to interpret physically. Here we address both of these weaknesses, presenting two major improvements to the standard softness method. First, we present a natural representation of each particle's observed mobility, allowing for the use of statistical models which are both simpler and provide greater accuracy in limited data sets. Second, we employ persistent homology as a systematic means of identifying simple, topologically-informed, structural quantities that are easy to interpret and measure experimentally. We test our methods on two-dimensional athermal packings of soft spheres under quasi-static shear. We find that the same structural information which predicts small variations in the response is also predictive of where plastic events will localize. We also find that excellent accuracy is achieved in athermal sheared packings using simply a particle's species and the number of nearest neighbor contacts.