Rate-Dependent Avalanche Size in Athermally Sheared Amorphous Solids

We perform an extensive numerical study of avalanche behavior in a two-dimensional Lennard-Jones glass at T=0, sheared at finite strain rates gamma center dot. 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, in steady flow, the avalanche size scales as gamma center dot(-1/d), with d the space dimension.