Journal
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
Volume 119, Issue 16, Pages -Publisher
NATL ACAD SCIENCES
DOI: 10.1073/pnas.2119006119
Keywords
glasses; structure; machine learning; mean-field theory; plasticity
Categories
Funding
- Natural Sciences and Engineering Research Council of Canada postgraduate scholarship doctoral award
- Simons Foundation for the Collaboration Cracking the Glass Problem Award [454945, 327939]
- US Department of Energy, Office of Basic Energy Sciences, Division of Materials Sciences and Engineering Award [DE-FG02-05ER46199]
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In frictionless jammed packings, localized physics dominates in low dimensions, but loses relevance as dimensions increase. Using machine learning, this study finds that a local structural variable, softness, correlates with rearrangements in different dimensions, providing direct evidence that local structure plays an important role in higher dimensions.
In frictionless jammed packings, existing evidence suggests a picture in which localized physics dominates in low spatial dimensions, d = 2, 3, but quickly loses relevance as d rises, replaced by spatially extended mean-field behavior. For example, quasilocalized low-energy vibrational modes and low-coordination particles associated with deviation from mean-field behavior (rattlers and bucklers) all vanish rapidly with increasing d. These results suggest that localized rearrangements, which are associated with low-energy vibrational modes, correlated with local structure, and dominant in low dimensions, should give way in higher d to extended rearrangements uncorrelated with local structure. Here, we use machine learning to analyze simulations of jammed packings under athermal, quasistatic shear, identifying a local structural variable, softness, that correlates with rearrangements in dimensions d = 2 to d = 5. We find that softness-and even just the local coordination number Z-is essentially equally predictive of rearrangements in all d studied. This result provides direct evidence that local structure plays an important role in higher d, suggesting a modified picture for the dimensional cross-over to mean-field theory.
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