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 ofMaxwell 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. for LaTeX users @article{MColangeli2009-80, author = {M. Colangeli and M. Kr\"oger and H. C. \"Ottinger}, title = {Boltzmann equation and hydrodynamic fluctuations}, journal = {Phys. Rev. E}, volume = {80}, pages = {051202}, year = {2009} }
\bibitem{MColangeli2009-80} M. Colangeli, M. Kr\"oger, H.C. \"Ottinger, Boltzmann equation and hydrodynamic fluctuations, Phys. Rev. E {\bf 80} (2009) 051202.MColangeli2009-80 M. Colangeli, M. Kr\"oger, H.C. \"Ottinger Boltzmann equation and hydrodynamic fluctuations Phys. Rev. E,80,2009,051202 |