Space-time fluctuations for currents in the thermal Toda lattice converge to an explicit Gaussian limit under diffusive scaling, implying Brownian motion for single-particle trajectories and explicit 1/time correlation decays.
Navier-Stokes cor- rection
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Fluctuations for the Toda lattice
Space-time fluctuations for currents in the thermal Toda lattice converge to an explicit Gaussian limit under diffusive scaling, implying Brownian motion for single-particle trajectories and explicit 1/time correlation decays.