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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Lutsko-Dufty correlation formulas are confirmed by linearized DNS; the FNS one-loop viscosity formula matches nonlinear DNS up to Δη/η0≈3, but only with a fitted UV cutoff.
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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
Lutsko-Dufty correlation formulas are confirmed by linearized DNS; the FNS one-loop viscosity formula matches nonlinear DNS up to Δη/η0≈3, but only with a fitted UV cutoff.