Criticality in sheared, disordered solids. II. Correlations in avalanche dynamics

Disordered solids respond to quasistatic shear with intermittent avalanches of plastic activity, an example the crackling noise observed in many nonequilibrium critical systems. The temporal power spectrum activity within disordered consists three distinct domains: a novel power-law rise frequency at low frequencies indicating anticorrelation, white-noise intermediate frequencies, and decay high frequencies. As strain rate increases, regime shrinks ultimately disappears as finite restricts maximum size avalanche. A new strain-rate- system-size-dependent theory is derived for spectra both finite-strain-rate regimes. This validated using data from overdamped two- three-dimensional molecular dynamics simulations. We identify important exponents yielding transition including dynamic exponent $z$ which relates avalanche its duration, fractal dimension avalanches, characterizing divergence correlations rate. Results are related single between multiple avalanches.