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Strongly correlated amorphous solids are a class of glass-formers whoseinter-particle potential admits an approximate inverse power-law form in arelevant range of inter-particle distances. We study the steady-state plasticflow of such systems, firstly in the athermal, quasi-static limit, and secondlyat finite temperatures and strain rates. In all cases we demonstrate theusefulness of scaling concepts to reduce the data to universal scalingfunctions where the scaling exponents are determined a-priori from theinter-particle potential. In particular we show that the steady plastic flow atfinite temperatures with efficient heat extraction is uniquely characterized bytwo scaled variables; equivalently, the steady state displays an equation ofstate that relates one scaled variable to the other two. We discuss the rangeof applicability of the scaling theory, and the connection to density scalingin supercooled liquid dynamics. We explain that the description of transientstates calls for additional state variables whose identity is still far fromobvious.

Scaling Theory for Steady State Plastic Flows in Amorphous Solids