Journal
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
Volume 118, Issue 18, Pages -Publisher
NATL ACAD SCIENCES
DOI: 10.1073/pnas.2019909118
Keywords
sheared granular matter; dense active matter; dynamical mean-field theory; energy landscapes; generalized rheology
Categories
Funding
- Swiss National Science Foundation (SNSF) [PZ00P2 173962]
- European Research Council under the European Union Horizon 2020 research and innovation program [723955]
- Simons Foundation [454955, 454939, 46222, 454947]
- [NSF-DMR-1951921]
- Swiss National Science Foundation (SNF) [PZ00P2_173962] Funding Source: Swiss National Science Foundation (SNF)
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The similarities in mechanical properties between dense active matter and sheared amorphous solids have been investigated through a mean-field model, showing equivalent critical behavior in infinite dimensions. Numerical tests in two dimensions confirm the accuracy of these predictions, suggesting a universal framework for predicting flow, deformation, and failure in active and sheared disordered materials.
The similarity in mechanical properties of dense active matter and sheared amorphous solids has been noted in recent years without a rigorous examination of the underlying mechanism. We develop a mean-field model that predicts that their critical behavior?as measured by their avalanche statistics?should be equivalent in infinite dimensions up to a rescaling factor that depends on the correlation length of the applied field. We test these predictions in two dimensions using a numerical protocol, termed ?athermal quasistatic random displacement,? and find that these mean-field predictions are surprisingly accurate in low dimensions. We identify a general class of perturbations that smoothly interpolates between the uncorrelated localized forces that occur in the high-persistence limit of dense active matter and system-spanning correlated displacements that occur under applied shear. These results suggest a universal framework for predicting flow, deformation, and failure in active and sheared disordered materials.
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