Signatures of the spatial extent of plastic events in the yielding transition in amorphous solids

摘要: Amorphous solids are yield stress materials that flow when a sufficient load is applied. Their consists of periods elastic loading interrupted by rapid drops, or avalanches, coming from microscopic rearrangements known as shear transformations (STs). Here we show the spatial extent avalanches in steadily sheared amorphous solid has profound effect on distribution local residual stresses $x$. We find this distribution, most unstable sites located system size dependent plateau. While entrance into plateau set lower cutoff mechanical noise produced individual STs, departure usually assumed power-law (pseudogap) form $P(x) \sim x^{\theta}$ comes far field effects related to spatially extended rearrangements. Interestingly, observe average value weakest $\langle x_{min} \rangle$ an intermediate power law regime between pseudogap and regimes, whose exponent decreases with size. Our findings imply new scaling relation linking exponents characterizing avalanche distributions.