2020/09/30 by Marko Popović, Tom W. J. de Geus, Wencheng Ji +1 · 1 citation
Chemistry · Materials Science · Mathematics · Physics and Astronomy · #Amorphous solid #Chemistry #Computer science #Condensed matter physics #Crystallography #Flow (mathematics) #Glass transition #Liquid Crystal Research Advancements #Material Dynamics and Properties #Materials science #Mathematics #Mechanics #Mesoscopic physics #Molecular dynamics #Physics #Polymer #Quantum mechanics #Rounding #Scaling #Sigma #Statistical physics #Theoretical and Computational Physics #Thermodynamics #Yield (engineering)
paper · doi:10.1103/physreve.104.025010
openalex publication_date 2021/08/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Amorphous solids yield at a critical value Σc of the imposed stress Σ 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 Σc. Here we study the steady-state thermal flow of amorphous solids using a mesoscopic elastoplastic model. In the Hébraud-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 two-dimensional (2D) elastoplastic model, and previously published molecular dynamics simulations of 2D Lennard-Jones glass.