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arXiv · 1505.05987

Fluctuating hydrodynamics approach to equilibrium time correlations for anharmonic chains

Herbert Spohn
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Abstract

Linear fluctuating hydrodynamics is a useful and versatile tool for describing fluids, as well as other systems with conserved fields, on a mesoscopic scale. In one spatial dimension, however, transport is anomalous, which requires to develop a nonlinear extension of fluctuating hydrodynamics. The relevant nonlinearity turns out to be the quadratic part of the Euler currents when expanding relative to a uniform background. We outline the theory and compare with recent molecular dynamics simulations.

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Herbert Spohn. 2016-01-04. Fluctuating hydrodynamics approach to equilibrium time correlations for anharmonic chains. https://arxiv.org/abs/1505.05987

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