Exact linear hydrodynamics from the Boltzmann equation

Details Exact linear hydrodynamics from the Boltzmann equation Exact linear hydrodynamics from the Boltzmann equation

2008-01-18

arxiv.org/abs/0801.2932v1

Phys. Rev. Lett. 100, 214503 (2008)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.100.214503

Exact (to all orders in Knudsen number) equations of linear hydrodynamics are
derived from the Boltzmann kinetic equation with the Bhatnagar-Gross-Krook
collision integral. The exact hydrodynamic equations are cast in a form which
allows us to immediately prove their hyperbolicity, stability, and existence of
an H-theorem.

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