ANOMALOUS DIFFUSION

Normal, sub-, and superdiffusion — MSD(t) ~ t^α

β = 1.50
γ = 0.60
N = 6
Step count
MSD normal
MSD sub
MSD super
Normal (α=1)
Subdiffusion (α<1)
Superdiffusion (α>1)
Normal: Gaussian steps. Sub: CTRW with heavy-tailed waiting times ψ(t)~t^(−1−γ). Super: Lévy flights with step distribution P(x)~|x|^(−1−β). Log-log MSD plot reveals power law exponent α.
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