Close to Jamming
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Glassy behavior starts at \( \phi \approx 0.55 – 0.59 \)
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Jamming is at \( \phi \approx 0.64 \)
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What happens if we go really close to jamming?
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Permanent Caging
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Floaters
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Step Distributions
Close to Jamming: |
Glassy: |
\( \Delta \phi = \phi_J - \phi = -10^{-3} \) |
\( \phi = 0.59 \), \( \Delta \phi = -0.05 \) |
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Step Distributions
Close to Jamming: |
Glassy: |
\( \Delta \phi = \phi_J - \phi = -10^{-4} \) |
\( \phi = 0.59 \), \( \Delta \phi = -0.05 \) |
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Step Distributions
Close to Jamming: |
Glassy: |
\( \Delta \phi = \phi_J - \phi = -10^{-5} \) |
\( \phi = 0.59 \), \( \Delta \phi = -0.05 \) |
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Step Distributions Close to Jamming
Step Distributions Close to Jamming
\( \alpha_2 \)
\( \alpha_2 \)
Back to Glassy Behavior
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Glassy Behavior
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How does this scale with N?
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Can we get larger \( \alpha_2 \) values for smaller N?
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Fit the step distributions to the sum of two gaussians
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