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Exact relation between Eulerian and Lagrangian velocity increment statisticsPhysical Review E (Statistical, Nonlinear, and Soft Matter Physics), Vol. 79, No. 6. (3 June 2009), 066301.
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AbstractWe present a formal connection between Lagrangian and Eulerian velocity increment distributions which is applicable to a wide range of turbulent systems ranging from turbulence in incompressible fluids to magnetohydrodynamic turbulence. For the case of the inverse cascade regime of two-dimensional turbulence we numerically estimate the transition probabilities involved in this connection. In this context we are able to directly identify the processes leading to strongly non-Gaussian statistics for the Lagrangian velocity increments.
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