In integrable one-dimensional systems hydrodynamic noise vanishes according to a projected Kubo formula, yielding a ballistic macroscopic fluctuation theory that describes all-order hydrodynamics.
Looking at bare transport coefficients in fluctuating hydrodynamics
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Direct numerical simulations confirm that the Lutsko-Dufty theory for nonequilibrium long-range correlations holds quantitatively across viscous to shear-dominated regimes, and the one-loop Forster-Nelson-Stephen renormalization group prediction for anomalous transport remains accurate even in the強く
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Hydrodynamic noise in one dimension: projected Kubo formula and how it vanishes in integrable models
In integrable one-dimensional systems hydrodynamic noise vanishes according to a projected Kubo formula, yielding a ballistic macroscopic fluctuation theory that describes all-order hydrodynamics.
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Quantitative analysis of fluctuating hydrodynamics in uniform shear flow
Direct numerical simulations confirm that the Lutsko-Dufty theory for nonequilibrium long-range correlations holds quantitatively across viscous to shear-dominated regimes, and the one-loop Forster-Nelson-Stephen renormalization group prediction for anomalous transport remains accurate even in the強く