Lévy Superdiffusion & CTRW

Continuous-time random walks with power-law jump lengths (Lévy flights, index α) and/or waiting times (index β) interpolate between normal diffusion, subdiffusion, and superdiffusion. The MSD scales as ⟨x²⟩~t^{2β/α}. Lévy flights exhibit anomalously long jumps.

⟨x²⟩--
Time step0
Regime--
Expected exp--