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We investigate anomalous energy transport processes in the Fermi-Pasta-Ulam$\beta$ lattice. They are determined by the maximum sound velocity of therelevant weakly damped energy carriers. That velocity can be numericallyresolved by measuring the propagating fronts of the correlation functions ofenergy/momentum fluctuations at different times. The numerical results arecompared with the predictions for solitons and effective (renormalized)phonons, respectively. Excellent agreement has been found for the prediction ofeffective long wavelength phonons, giving strong evidence that the energycarriers should be effective phonons rather than solitons.

Energy carriers in the Fermi-Pasta-Ulam $\beta$ lattice: Solitons or Phonons?