We study the spin-mixing dynamics of a one-dimensional strongly repulsive Fermi gas under harmonic confinement. By employing a mapping onto an inhomogeneous isotropic Heisenberg model and the symmetries under particle exchange, we follow the dynamics until very long times. Starting from an initial spin-separated state, we observe superdiffusion, spin-dipolar large amplitude oscillations, and thermalization. We report a universal scaling of the oscillations with particle number $N^{1/4}$. Our Letter puts forward one-dimensional correlated fermions as a different system to observe the emergence of nonequilibrium universal features.

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• Anomalous diffusion
• Cold and ultracold molecules
• Fermi gases
• Spin dynamics
• 1-dimensional systems
• Heisenberg model