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Power fluctuations in sheared amorphous materials: A minimal model

Ekeh, Timothy and Fodor, Étienne and Fielding, Suzanne M. and Cates, Michael E. (2022) 'Power fluctuations in sheared amorphous materials: A minimal model.', Physical Review E, 105 (5). L052601.


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.

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Publisher 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.
Date accepted:09 February 2022
Date deposited:20 July 2022
Date of first online publication:05 May 2022
Date first made open access:20 July 2022

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