Fluctuating hydrodynamics approach to equilibrium time correlations for anharmonic chains
Statistical Mechanics
2016-01-05 v2 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1505.05987,
title = {Fluctuating hydrodynamics approach to equilibrium time correlations for anharmonic chains},
author = {Herbert Spohn},
journal= {arXiv preprint arXiv:1505.05987},
year = {2016}
}
Comments
50 pages, 7 figures, review, to appear in the Springer Lecture Notes in Physics volume "Thermal transport in low dimensions: from statistical physics to nanoscale heat transfer" (S. Lepri ed.)