Boltzmann equation and hydrodynamic fluctuations

Details Boltzmann equation and hydrodynamic fluctuations Boltzmann equation and hydrodynamic fluctuations

2009-07-07

arxiv.org/abs/0907.1216v1

Physics

Condensed Matter

Statistical Mechanics

This is a more detailed version of a related paper: I.V. Karlin, M. Colangeli, M. Kroger, PRL 100 (2008) 214503, arXiv:0801.29

Scientific paper

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.

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