Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2010-01-22
Phys. Rev. Lett. 104, 120601 (2010)
Physics
Condensed Matter
Statistical Mechanics
4 pages, 1 figure
Scientific paper
10.1103/PhysRevLett.104.120601
We use guiding principles from nonequilibrium thermodynamics to develop an admissible set of 13 moment equations for rarefied gas flows. The main benefits of our thermodynamic approach are an explicit entropy expression fulfilling an $H$ theorem and a sound Hamiltonian formulation of the reversible free flight transport. To calculate the entropy and to find explicit closure approximations, we propose a simple set of approximate 13 parameter solutions to Boltzmann's kinetic equation. We discuss how standard hydrodynamics is recovered as a limiting case.
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