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α₂ Close to Jamming

Close to Jamming

Glassy behavior starts at $\phi \approx 0.55 – 0.59$
Jamming is at $\phi \approx 0.64$
What happens if we go really close to jamming?
- Permanent Caging
- Floaters

Floaters

Step Distributions

Close to Jamming:

Glassy:

$\Delta \phi = \phi_J - \phi = -10^{-4}$

$\phi = 0.59$ , $\Delta \phi = -0.05$

Floaters

Close to Jamming:

Glassy:

Step Distributions

Close to Jamming:

Glassy:

Peak at $10^{-2}$ : Tight Cages

Peak at $10^{-1}$ : Caged Floaters

Peak at $10^{-1}$ : Caged Particles

Peak at $10^{0}$ : Rearrangements

Step Distributions Close to Jamming

Solid: Backbone

Dashed: Floaters

Thin Dotted: Both

Rearrangements

Hypothesis: Micro-rearrangements and rearrangements occur at different values of $\Delta \phi$ , with $\Delta \phi$ dependent on system size.

Micro-Rearrangements

Back to Glassy Behavior

System Size Dependence of $\alpha_2$

System Size Dependence of $\alpha_2$

Does $\phi^\star$ increase with $N$ ?

α₂ Close to Jamming