Hard Spheres and Polymers
Characterizing Hard Spheres
α₂ goes to ∞?
Line drawn is \(A \left(\phi^\star - \phi\right)^n\), where
\( \phi^\star = 0.6138 \pm 0.0031\) (jamming is at \(\phi^J = 0.634\pm0.004\) )
\( n = -2.08 \pm 0.19 \)
That would mean α₂ goes to ∞.
Aging
When we increase the density, it takes a long time to equilibrate.
How does α₂ react as we equilibrate?
Can we get an estimate of α₂ at even higher distances by studying non-equilibrium data?
Note: Plot shown is only a cartoon.
New Directions: Polymers
How do polymers such as RNA and DNA affect α₂?
Polymers may create micro-environments, leading to large α₂
Investigate the affect of polymer density and size on α₂ of particles
Example
Example: MSD
Example: α₂
