Lévy Walk — Anomalous Transport

Power-law step lengths create superdiffusion: ⟨r²(t)⟩ ~ t^α, α > 1

Walker A — Lévy

Walker B — Brownian

Lévy: P(ℓ) ~ ℓ^(−μ)
μ∈(1,2): superdiff, α=4−μ
μ∈(2,3): α=2(μ−1)/(μ−1)≈1
Brownian: α=1 (normal diff)
⟨r²⟩=4Dt (2D Brownian)

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