Colloidal Glass — Cage Rattling & MSD Plateau

Glassy dynamics: sub-diffusion, β-relaxation, and the glass transition

Parameters

MSD: ⟨r²(t)⟩ = ⟨|r(t)−r(0)|²⟩
Liquid: ~ 6Dt (Fickian)
Glass: plateau → cage trapping
β-relax: ⟨r²⟩ ~ t^b, b < 1
Cage radius r_c ~ 0.1σ
Phase:Supercooled
Cage size (σ):
D_eff:
Particles: