Finite-size study of the athermal quasistatic yielding transition in structural glasses.

We present a finite-size study of the athermal quasistatic yielding transition in structural glasses featuring a wide range of mechanical disorder. We find a crossover from gradual yielding in small systems, to a macroscopic discontinuous stress drop as the system size is increased. The crossover size grows significantly as the sample's structural disorder approaches the maximal value that a glass can attain. Our results suggest an analogy between the nature of the athermal quasistatic yielding transition in structural glasses and brittle fracture of fuse models and elastic networks. We discuss our results in the context of recent claims in the literature.