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

  • Regular Article - Theoretical Physics
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Abstract

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.

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Authors and Affiliations

  1. Institute for Theoretical Physics, Goethe University, Max-von-Laue Str. 1, D-60438, Frankfurt am Main, Germany

    G. S. Denicol & D. H. Rischke

  2. Frankfurt Institute for Advanced Studies, Ruth-Moufang-Str. 1, D-60438, Frankfurt am Main, Germany

    E. Molnár, H. Niemi & D. H. Rischke

  3. MTA Wigner Research Centre for Physics, P.O. Box 49, H-1525, Budapest, Hungary

    E. Molnár

  4. MTA-DE Particle Physics Research Group, P.O. Box 105, H-4010, Debrecen, Hungary

    E. Molnár

  5. Department of Physics, University of Jyväskylä, P.O. Box 35 (YFL), FI-40014, Jyväskylä, Finland

    H. Niemi

Authors
  1. G. S. Denicol
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  2. E. Molnár
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  3. H. Niemi
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  4. D. H. Rischke
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Communicated by T. Bíró

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Denicol, G.S., Molnár, E., Niemi, H. et al. Derivation of fluid dynamics from kinetic theory with the 14-moment approximation. Eur. Phys. J. A 48, 170 (2012). https://doi.org/10.1140/epja/i2012-12170-x

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  • DOI: https://doi.org/10.1140/epja/i2012-12170-x

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