Power fluctuations in sheared amorphous materials: A minimal model

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

doi:10.1103/physreve.105.l052601

Power fluctuations in sheared amorphous materials: A minimal model

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

Authors

Timothy Ekeh

Étienne Fodor

Professor Suzanne Fielding suzanne.fielding@durham.ac.uk
Professor

Michael E. Cates

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

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Copyright Statement
Reprinted with permission from the American Physical Society: Ekeh, Timothy, Fodor, Étienne, Fielding, Suzanne M. & Cates, Michael E. (2022). Power fluctuations in sheared amorphous materials: A minimal model. Physical Review E 105(5): L052601. © (2022) by the American Physical Society. Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modified, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society.