Power fluctuations in sheared amorphous materials: A minimal model
arXiv:2106.12962 · doi:10.1103/PhysRevE.105.L052601
Abstract
The importance of mesoscale fluctuations in flowing amorphous materials is widely accepted, without a clear understanding of their role. We propose a mean-field elastoplastic model that admits both stress and strain-rate fluctuations, and investigate the character of its power distribution under steady shear flow. The model predicts the suppression of negative power fluctuations near the liquid-solid transition; the existence of a fluctuation relation in limiting regimes but its replacement in general by stretched-exponential power-distribution tails; and a crossover between two distinct mechanisms for negative power fluctuations in the liquid and the yielding solid phases. We connect these predictions with recent results from particle-based, numerical micro-rheological experiments.
11 pages, 4 figures
References in corpus (7)
- Theoretical perspective on the glass transition and amorphous materials
- Plastic Response of a 2D Lennard-Jones amorphous solid: Detailed analysis of the local rearrangements at very slow strain-rate
- A fluidized granular medium as an instance of the Fluctuation Theorem
- Shear banding, aging and noise dynamics in soft glassy materials
- A microscopic view of the yielding transition in concentrated emulsions
- Fluctuations of internal energy flow in a vibrated granular gas
- On the relevance of disorder in athermal amorphous materials under shear