Lévy Walk — Anomalous Transport
Power-law step lengths create superdiffusion: ⟨r²(t)⟩ ~ t^α, α > 1
Walker A — Lévy
Power-law exponent μ:
1.5
Max steps per run:
200
Walker B — Brownian
Step size σ:
1.0
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)
Controls
Number of walkers:
30
Simulation speed:
3
Reset & Regenerate
Pause