Unified View of Avalanche Criticality in Sheared Glasses

Abstract

Plastic events in sheared glasses are considered an example of so-called avalanches, whose sizes obey a power-law probability distribution with the avalanche critical exponent $\tau$. Although mean-field theory predicts a universal value of this exponent, ${\tau }_{\mathrm{MF}}=1.5$, numerical simulations have reported different values depending on the literature. Moreover, in the elastic regime, it has been noted that the critical exponent can be different from that in the steady state, and even criticality itself is a matter of debate. Because these confusingly varying results were reported under different setups, our knowledge of avalanche criticality in sheared glasses is greatly limited. To gain a unified understanding, in this work, we conduct a comprehensive numerical investigation of avalanches in Lennard-Jones glasses under athermal quasistatic shear. In particular, by excluding the ambiguity and arbitrariness that has crept into the conventional measurement schemes, we achieve high-precision measurement and demonstrate that the exponent $\tau$ in the steady state follows the mean-field prediction of ${\tau }_{\mathrm{MF}}=1.5$. Our results also suggest that there are two qualitatively different avalanche events. This binariness leads to the non-universal behavior of the avalanche size distribution and is likely to be the cause of the varying values of $\tau$ reported thus far. To investigate the dependence of criticality and universality on applied shear, we further study the statistics of avalanches in the elastic regime and the ensemble of the first avalanche event in different samples, which provide information about the unperturbed system. We show that while the unperturbed system is indeed off-critical, criticality gradually develops as shear is applied. Moreover, the critical exponent obeys the mean-field prediction ${\tau }_{\mathrm{MF}}$ universally, once the system becomes critical.

16 pages, 16 figures

References in corpus (13)

• Fractal free energy landscapes in structural glasses
• Scaling description of the yielding transition in soft amorphous solids at zero temperature
• Self-Organized Criticality model for Brain Plasticity
• Plastic Response of a 2D Lennard-Jones amorphous solid: Detailed analysis of the local rearrangements at very slow strain-rate
• Marginal Stability in Structural, Spin and Electron Glasses
• Local and global avalanches in a 2D sheared granular medium
• Absence of Marginal Stability in a Structural Glass
• Mean-field avalanches in jammed spheres
• Inertia and universality of avalanche statistics: The case of slowly deformed amorphous solids
• Low-temperature anomalies of a vapor deposited glass
• Aging in a mean field elastoplastic model of amorphous solids
• Properties of the density of shear transformations in driven amorphous solids
• Density scaling and quasiuniversality of flow-event statistics for athermal plastic flows

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