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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Phonon fluctuations in a weakly anharmonic oscillator chain with stochastic momentum exchanges converge to uncoupled stochastic Burgers equations under diffusive scaling with weakened anharmonicity.
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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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Nonlinear fluctuations for a chain of weakly anharmonic oscillators with stochastic perturbation
Phonon fluctuations in a weakly anharmonic oscillator chain with stochastic momentum exchanges converge to uncoupled stochastic Burgers equations under diffusive scaling with weakened anharmonicity.