Lévy Flight — Anomalous Diffusion

Step lengths drawn from P(l) ~ l−α. For α < 2, the mean-square displacement grows as ⟨r²⟩ ~ t2/α, faster than Brownian motion. Long jumps produce the characteristic spiky trajectory.

Parameters

MSD Analysis

Steps taken: 0
⟨r²⟩: -
Expected exponent: -
Measured exponent: -

Color Key

Lévy flight (current α)
Brownian (α=2) reference
Long jumps appear as bright lines