Boltzmann equation and hydrodynamic fluctuations
Statistical Mechanics
2015-05-13 v1 Mathematical Physics
math.MP
Abstract
We apply the method of invariant manifolds to derive equations of generalized hydrodynamics from the linearized Boltzmann equation and determine exact transport coefficients, obeying Green-Kubo formulas. Numerical calculations are performed in the special case of Maxwell molecules. We investigate, through the comparison with experimental data and former approaches, the spectrum of density fluctuations and address the regime of finite Knudsen numbers and finite frequencies hydrodynamics.
Cite
@article{arxiv.0907.1216,
title = {Boltzmann equation and hydrodynamic fluctuations},
author = {M. Colangeli and M. Kroger and H. C. Ottinger},
journal= {arXiv preprint arXiv:0907.1216},
year = {2015}
}
Comments
This is a more detailed version of a related paper: I.V. Karlin, M. Colangeli, M. Kroger, PRL 100 (2008) 214503, arXiv:0801.2932. It contains comparison between predictions and experiment, in particular. 11 pages, 6 figures, 2 tables