Amorphous solids yield in strain-controlled protocols at a critical value of the strain. For larger strains the stress and energy display a generic complex serrated signal with elastic segments punctuated by sharp energy and stress plastic drops having a wide range of magnitudes. Here we provide a theory of the scaling properties of such serrated signals taking into account the system-size dependence. We show that the statistics are not homogeneous - they separate sharply to a regime of `small' and `large' drops, each endowed with its own scaling properties. A scaling theory is first derived solely by data analysis, showing a somewhat complex picture. But after considering the physical interpretation one discovers that the scaling behavior and the scaling exponents are in fact very simple and universal.
@article{arxiv.1604.04088,
title = {Statistics of Plastic Events in Post-Yield Strain-Controlled Amorphous Solids},
author = {Awadhesh K. Dubey and H. George E. Hentschel and Itamar Procaccia and Murari Singh},
journal= {arXiv preprint arXiv:1604.04088},
year = {2016}
}