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Nonaffine displacements below jamming under athermal quasistatic compression.
Harukuni Ikeda1, Koji Hukushima1,2
1Graduate School of Arts and Sciences, The University of Tokyo 153-8902, Japan.
Physical Review. E
|April 17, 2021
Summary
Critical properties of frictionless spherical particles near jamming were studied. Nonaffine displacements show power-law divergence, suggesting localized, fractal behavior at the jamming transition point.
Area of Science:
- Physics
- Materials Science
- Statistical Mechanics
Background:
- Understanding particle systems below jamming is crucial for materials science.
- Nonaffine displacements are key to understanding system response.
Purpose of the Study:
- Investigate critical properties of frictionless spherical particles below jamming.
- Analyze nonaffine displacements during compression.
Main Methods:
- Extensive numerical simulations.
- Athermal quasistatic compression.
Main Results:
- Squared nonaffine displacement shows power-law divergence towards jamming.
- Participation ratio vanishes, indicating marginal localization with fractal dimension.
- Displacement distribution exhibits a power-law tail related to fractal dimension.
Conclusions:
- Nonaffine displacements are critical near jamming.
- Results suggest a connection between critical exponents and shear viscosity.
- Marginal localization and fractal nature of displacements are key features.
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