Derivation of fluid dynamics from kinetic theory with the 14-moment approximation

We review the traditional derivation of the fluid-dynamical equations from kinetic theory according to Israel and Stewart. We show that their procedure to close the fluid-dynamical equations of motion is not unique. Their approach contains two approximations, the first being the so-called 14-moment...

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Bibliographic Details
Published in:The European physical journal. A, Hadrons and nuclei Hadrons and nuclei, 2012-11, Vol.48 (11), Article 170
Main Authors: Denicol, G. S., Molnár, E., Niemi, H., Rischke, D. H.
Format: Article
Language:English
Subjects:
Hadrons
Heavy Ions
Nuclear Fusion
Nuclear Physics
Particle and Nuclear Physics
Physics
Physics and Astronomy
Regular Article - Theoretical Physics
Topical Issue on Relativistic Hydro- and Thermodynamics
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Summary:We review the traditional derivation of the fluid-dynamical equations from kinetic theory according to Israel and Stewart. We show that their procedure to close the fluid-dynamical equations of motion is not unique. Their approach contains two approximations, the first being the so-called 14-moment approximation to truncate the single-particle distribution function. The second consists in the choice of equations of motion for the dissipative currents. Israel and Stewart used the second moment of the Boltzmann equation, but this is not the only possible choice. In fact, there are infinitely many moments of the Boltzmann equation which can serve as equations of motion for the dissipative currents. All resulting equations of motion have the same form, but the transport coefficients are different in each case.
ISSN:1434-6001
1434-601X
DOI:10.1140/epja/i2012-12170-x