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Mass and internal-energy transports in strongly compressible magnetohydrodynamic turbulence

Published online by Cambridge University Press:  11 December 2018

N. Yokoi*
Affiliation:
Institute of Industrial Science, University of Tokyo, 4-6-1, Komaba, Tokyo 153-8505, Japan Nordic Institute for Theoretical Physics (NORDITA), Roslagstullsbacken 23, 106 91 Stockholm, Sweden
*
Email address for correspondence: nobyokoi@iis.u-tokyo.ac.jp

Abstract

Turbulent mass and internal-energy transports in strongly compressible magnetohydrodynamic (MHD) turbulence are investigated in the framework of the multiple-scale direct-interaction approximation, an analytical closure scheme for inhomogeneous turbulence at very high Reynolds numbers. Utilising the analytical representations for the turbulent mass and internal-energy fluxes and their transport coefficients, which are expressed in terms of the correlation and response functions, turbulence models for these fluxes are proposed. In addition to the usual gradient-diffusion transports, cross-diffusion transports mediated by the density variance and the transports along the mean magnetic field mediated by the compressional or dilatational turbulent cross-helicity (velocity–magnetic-field correlation coupled with compressive motions) are shown to arise. These compressibility effects are of fundamental importance since they provide deviations from the usual gradient-diffusion transports. Analogies of the dilatational cross-helicity effects to the magnetoacoustic waves are also argued.

Type
Research Article
Copyright
© Cambridge University Press 2018 

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