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Diffusion and dispersion of passive tracers: Navier-Stokes vs. MHD turbulence

W.-C. Müller1 and A. Busse1,2

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A comparison of turbulent diffusion and pair-dispersion in homogeneous, macroscopically isotropic Navier-Stokes (NS) and nonhelical magnetohydrodynamic (MHD) turbulence based on high-resolution direct numerical simulations is presented. Significant differences between MHD and NS systems are observed in the pair-dispersion properties, in particular a strong reduction of the separation velocity in MHD turbulence as compared to the NS case. It is shown that in MHD turbulence the average pair-dispersion is slowed down for τd lesssim t lesssim 10τd, τd being the Kolmogorov time, due to the alignment of the relative Lagrangian tracer velocity with the local magnetic field. Significant differences in turbulent single-particle diffusion in NS and MHD turbulence are not detected. The fluid particle trajectories in the vicinity of the smallest dissipative structures are found to be characteristically different although these comparably rare events have a negligible influence on the statistics investigated in this work.


PACS

52.30.Cv Magnetohydrodynamics (including electron magnetohydrodynamics)

47.10.-g General theory in fluid dynamics

47.27.-i Turbulent flows, convection, and heat transfer

Subjects

Fluid dynamics

Mathematical physics

Plasma physics

Dates

Issue 1 (April 2007)

Received 6 December 2006, in final form 22 February 2007

Published 22 March 2007



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