Thermally activated flow in models of amorphous solids

Abstract

Amorphous solids yield at a critical value ${\Sigma }_c$ of the imposed stress $\Sigma$ through a dynamical phase transition. While sharp in athermal systems, the presence of thermal fluctuations leads to the rounding of the transition and thermally activated flow even below ${\Sigma }_c$. Here, we study the steady state thermal flow of amorphous solids using a mesoscopic elasto-plastic model. In the Hebraud-Lequex (HL) model we provide an analytical solution of the thermally activated flow at low temperature. We then propose a general scaling law that also describes the transition rounding. Finally, we find that the scaling law holds in numerical simulations of the HL model, a 2D elasto-plastic model, and in previously published molecular dynamics simulations of 2D Lennard-Jones glass.

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• Shear Induced Orientational Ordering in Active Glass
• Dynamic Length Scale and Weakest Link Behavior in Crystal Plasticity
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• Effect of quenched heterogeneity on creep lifetimes of disordered materials
• Mean field theory of yielding under oscillatory shear
• Nonequilibrium plastic roughening of metallic glasses yields self-affine topographies with strain-rate and temperature-dependent scaling exponents
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