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2009

Exact Scaling Relations In Relativistic Hydrodynamic Turbulence

Fouxon, Itzhak, Oz, Yaron

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We consider the steady state statistics of turbulence in general classes of dissipative hydrodynamic equations, where the fluctuations are sustained by a random source concentrated at large scales.

It is well known that in some particular cases, such as non-relativistic incompressible turbulence, a Kolmogorov-type exact scaling relation for a correlation function holds.
We show that all such scaling relations follow from a general relation on the current-density correlation function.
The derivation does not require an energy cascade picture and suggests that this traditional interpretation of the Kolmogorov relation for incompressible turbulence may be misleading.

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A. N. Kolmogorov, Dokl. Akad. Nauk SSSR, 32
1941
Earlier work this paper cites.
A. M. Yaglom, Dokl. Akad. Nauk. SSSR, 69
1949
Earlier work this paper cites.
S. Chandrasekhar, Proc. Roy. Soc. A 204
1951
Earlier work this paper cites.
D. Forster, Hydrodynamic Fluctuations, Broken Symmetry, And Correlation Functions
1975
Earlier work this paper cites.
U. Frisch, Turbulence: The Legacy of A. N. Kolmogorov
1995
Earlier work this paper cites.
H. Politano and A. Pouquet, Phys. Rev. E 57
1998
Earlier work this paper cites.

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