Simple diffusion |
no (self-similar) |
linear |
Gaussian |
Fractional Brownian motion |
no (self-similar) |
power law |
Gaussian (nonlinear time dependance of the variance) |
CTRW |
no (ensemble-averaged ACF self-similar), but aging produces non-self-similar time-averaged ACF |
linear (time average), power law (ensemble average) |
non-Gaussian |
Two-component diffusion |
Relaxation time, τc = 1/(k01 + k10) |
linear |
sum of two Gaussians well below τc, Gaussian well above |
Diffusing diffusivity |
Time required to explore diffusion space, τc = (DM − Dm)2/2d
|
linear |
quasiexponential well below τc, Gaussian well above |
Caged diffusion |
Cage relaxation time, τc = L2/(6D), escape time τ′c = τc/p
|
linear well below τc and well above τ′c
|
Gaussian well below τc and well above τ′c
|
Obstructed diffusion |
Average time before obstacle encounter, τc = L2/(6Dϕ2/3)) |
linear well below and well above τc
|
Gaussian well below and well above τc
|