Yielding of amorphous solids at finite temperatures

We analyze the effect of temperature on yielding transition amorphous solids using different coarse-grained model approaches. On one hand, we use an elastoplastic model, with introduced in form Arrhenius activation law over energy barriers. other implement a Hamiltonian relaxational dynamics, where is Langevin stochastic force. In both cases, transforms sharp athermal case smooth crossover. show that this thermally smoothed follows simple scaling can be fully explained one-particle system driven potential under combined action mechanical and thermal noise, namely, stochastically Prandtl-Tomlinson model. Our work harmonizes results models for phenomenological $\ensuremath{\sim}{T}^{2/3}$ proposed by Johnson Samwer [Phys. Rev. Lett. 95, 195501 (2005)] framework experimental metallic glasses yield observations, extend it to generic case. Conclusively, our strengthen interpretation as effective mean-field phenomenon.