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- W2017057789 abstract "A model for randomly stirred or homogeneous turbulent fluids is analyzed using renormalization-group methods on a path-integral representation of the Navier-Stokes equations containing a spatially and temporally colored noise source. For moderate Reynolds numbers and certain values of the dynamic exponent governing the noise correlation, an additional scaling regime is found at wave vectors k beyond those where the Kolmogorov 5/3 law holds. In this case, the energy spectrum decays as ${mathit{k}}^{mathrm{ensuremath{-}}1mathrm{ensuremath{-}}mathit{z}}$, where 1z2, the fluid homodyne-scattering function decays as (time${)}^{mathrm{ensuremath{-}}2/mathit{z}}$, and the velocity-distribution function (as characterized by its skewness) deviates from a Gaussian. The additional scaling region disappears, and the Kolmogorov constant and Prandtl number become universal in the limit of infinite Reynolds number. In three spatial dimensions, the latter two equal 3/2( 5) / 3 ${)}^{1/3}$ and ensuremath{surd}0.8 , respectively. The recent homodyne scattering experiments of Tong and co-workers [Phys. Rev. Lett. 65, 2780 (1990)] are analyzed, and the connection of the new scaling region with intermittency is discussed." @default.
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- W2017057789 modified "2023-09-28" @default.
- W2017057789 title "Theory of fully developed hydrodynamic turbulent flow: Applications of renormalization-group methods" @default.
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- W2017057789 doi "https://doi.org/10.1103/physreva.45.5578" @default.
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