2021/07/28 by Ezequiel E. Ferrero, Alejandro B. Kolton, Eduardo A. Jagla +1
Chemistry · Engineering · Materials Science · Mathematics · Physics and Astronomy · #Amorphous solid #Arrhenius equation #Chemistry #Classical mechanics #Computer science #Condensed matter physics #Crossover #Glass transition #Hamiltonian (control theory) #Material Dynamics and Properties #Materials science #Mathematical optimization #Mathematics #Metallic Glasses and Amorphous Alloys #Phenomenological model #Physics #Polymer #Scaling #Statistical physics #Theoretical and Computational Physics #Thermodynamics #Work (physics) #cond-mat.dis-nn #cond-mat.mtrl-sci #cond-mat.soft
paper · pdf · doi:10.1103/physrevmaterials.5.115602
16 pages, 11 figures
arxiv created 2021/07/28 · openalex publication_date 2021/11/11 · arxiv updated 2021/11/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We analyze the effect of temperature on the yielding transition of amorphous solids using different coarse-grained model approaches. On one hand, we use an elastoplastic model, with temperature introduced in the form of an Arrhenius activation law over energy barriers. On the other hand, we implement a Hamiltonian model with a relaxational dynamics, where temperature is introduced in the form of a Langevin stochastic force. In both cases, temperature transforms the sharp transition of the athermal case in a smooth crossover. We show that this thermally smoothed transition follows a simple scaling form that can be fully explained using a one-particle system driven in a potential under the combined action of a mechanical and a thermal noise, namely, the stochastically driven Prandtl-Tomlinson model. Our work harmonizes the results of simple models for amorphous solids with the phenomenological \ensuremath∼T2/3 law proposed by Johnson and Samwer [Phys. Rev. Lett. 95, 195501 (2005)] in the framework of experimental metallic glasses yield observations, and extend it to a generic case. Conclusively, our results strengthen the interpretation of the yielding transition as an effective mean-field phenomenon.