Anomalous Heat Conduction — Lévy Walks

In low-dimensional systems, Fourier's law breaks down. Heat conductivity κ diverges with system size as κ ∝ N^α. This is linked to Lévy-walk statistics of energy carriers. Simulate a 1D chain with Fermi-Pasta-Ulam nonlinearity and compare normal vs anomalous transport.

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Local temperature profile | Fourier prediction: linear (dashed)