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.
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Establishes a large deviation principle for the spectral measure of the Lax matrix of the periodic Toda chain under generalised Gibbs ensemble statistics.
The thermal Toda lattice is modeled as quasiparticles whose locations satisfy an asymptotic scattering relation derived from eigenvector properties of the Lax matrix.
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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.
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Large deviations of the periodic Toda chain
Establishes a large deviation principle for the spectral measure of the Lax matrix of the periodic Toda chain under generalised Gibbs ensemble statistics.
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Asymptotic Scattering Relation for the Toda Lattice
The thermal Toda lattice is modeled as quasiparticles whose locations satisfy an asymptotic scattering relation derived from eigenvector properties of the Lax matrix.