Looking at bare transport coefficients in fluctuating hydrodynamics

Hiroyoshi Nakano; Yuki Minami; Keiji Saito

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arXiv · 2502.15241

Looking at bare transport coefficients in fluctuating hydrodynamics

Hiroyoshi Nakano·Yuki Minami·Keiji Saito

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Abstract

Bare transport coefficients in fluctuating hydrodynamics are not directly observable in bulk systems, as hydrodynamic fluctuations inevitably renormalize them into macroscopic values. In this work, we propose an operational method to determine the bare shear viscosity in two-dimensional dense fluids by focusing on fluid behavior near solid boundaries, where momentum scattering suppresses long-wavelength fluctuations. Using fluctuating hydrodynamic and molecular dynamics simulations supported by analytical arguments, we show that the viscosity measured near walls directly corresponds to the bare value. Based on this observation, we construct a practical protocol to extract the bare viscosity from microscopic data and verify its consistency by predicting flow profiles and equilibrium correlations. We further demonstrate that fluctuating hydrodynamics quantitatively reproduces fluid behavior down to atomic length scales.

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Hiroyoshi Nakano, Yuki Minami, Keiji Saito. 2025-02-21. Looking at bare transport coefficients in fluctuating hydrodynamics. https://arxiv.org/abs/2502.15241

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