Power fluctuations in sheared amorphous materials: A minimal model

Ekeh, Timothy; Fodor, Étienne; Fielding, Suzanne M.; Cates, Michael E.

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 microrheological experiments.

Citation

Ekeh, T., Fodor, É., Fielding, S. M., & Cates, M. E. (2022). Power fluctuations in sheared amorphous materials: A minimal model. Physical Review E, 105(5), Article L052601. https://doi.org/10.1103/physreve.105.l052601

• Journal Article Type: Article
• Acceptance Date: Feb 9, 2022
• Online Publication Date: May 5, 2022
• Publication Date: 2022-05
• Deposit Date: Jul 20, 2022
• Publicly Available Date: Jul 20, 2022
• Journal: Physical Review E
• Print ISSN: 2470-0045
• Electronic ISSN: 2470-0053
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 105
• Issue: 5
• Article Number: L052601
• DOI: https://doi.org/10.1103/physreve.105.l052601
• Public URL: https://durham-repository.worktribe.com/output/1197082