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We address the system-size dependence of typical plastic flow events when anamorphous solid is put under a fixed external strain rate at a finitetemperature. For system sizes that are accessible to numerical simulations atreasonable strain rates and at low temperatures the magnitude of plastic eventsgrows with the system size. We explain however that this must be a finite sizeeffect; for larger systems there exist two cross-over length-scales $\xi_1$ and$\xi_2$, the first determined by the elastic time-scale and the second by thethermal energy-scale. For system of linear size $L$ larger than any of thesescales the magnitude of plastic events must be bounded. For systems of size$L\gg \xi$ there must exist $(L/\xi)^d$ uncorrelated plastic events which occursimultaneously. We present a scaling theory that culminates with the dependenceof the cross-over scales on temperature and strain rate. Finally we relatethese findings to the temperature and size dependence of the stressfluctuations. We comment on the importance of these considerations for theoriesof elasto-plasticity.

Size of Plastic Events in Strained Amorphous Solids at Finite Temperatures