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We extend the ideas of Kolmogorov theory on symmetries of turbulent dynamicsto analyze invariants, scaling and spectra of unsteady turbulent mixing inducedby the Rayleigh-Taylor instability. Time- and scale-invariance of the rate ofmomentum loss leads to non-dissipative momentum transfer between the scales, toand power-law scale-dependencies of the velocity and Reynolds number andspectra distinct from Kolmogorov, and sets the viscous and dissipation scales.Turbulent mixing exhibits more order compared to isotropic turbulence.Mechanisms of flow regularization are discussed.

Invariants, symmetries and scaling of Rayleigh-Taylor turbulent mixing