Derivation of transient relativistic fluid dynamics from the Boltzmann equation

@article{Denicol2012DerivationOT,
  title={Derivation of transient relativistic fluid dynamics from the Boltzmann equation},
  author={Gabriel S. Denicol and Harri Niemi and Etele Moln{\'a}r and Dirk H. Rischke},
  journal={Physical Review D},
  year={2012},
  volume={85},
  pages={114047}
}
In this work we present a general derivation of relativistic fluid dynamics from the Boltzmann equation using the method of moments. The main difference between our approach and the traditional 14-moment approximation is that we will not close the fluid-dynamical equations of motion by truncating the expansion of the distribution function. Instead, we keep all terms in the moment expansion. The reduction of the degrees of freedom is done by identifying the microscopic time scales of the… 

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References

SHOWING 1-10 OF 21 REFERENCES
Fluid Mechanics
Ludwig Krinner (Dated: November 5th 2012) Abstract This is a script made with the help of Landau Lifshitz, Book VI [1] on fluid mechanics, that gives a short introduction to basic fluid mechanics.
Relativistic Kinetic Theory: Principles and Applications
Preface. Historical background. Part A. Basic Equations. I. Elements of relativistic kinetic theory. II. Conservation laws and H-theorem. Part B. Derivation of the Transport Equation. III. Scalar
MATH
TLDR
It is still unknown whether there are families of tight knots whose lengths grow faster than linearly with crossing numbers, but the largest power has been reduced to 3/z, and some other physical models of knots as flattened ropes or strips which exhibit similar length versus complexity power laws are surveyed.
Ann
Aaron Beck’s cognitive therapy model has been used repeatedly to treat depression and anxiety. The case presented here is a 34-year-old female law student with an adjustment disorder with mixed
Phys
  • Lett. 58A, 213 (1976); Ann. Phys. (N.Y.) 118, 341 (1979); Proc. Roy. Soc. London A 365, 43
  • 1979
Phys
  • Rev. D83, 074019 (2011); J. Phys. G 38, 124177
  • 2011
Comm
  • Pure Appl. Math. 2, 331
  • 1949
The mathematical theory of non-uniform gases : notes added in 1951
JHEP 0804
  • 100
  • 2008
Phys
  • Rev. C 79, 014906 (2009); A. El, Z. Xu, and C. Greiner, Phys. Rev. C 81, 041901
  • 2010
...
...