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Phenomenology of hydromagnetic turbulence in a uniformly expanding medium

Published online by Cambridge University Press:  13 March 2009

William H. Matthaeus ,
Gary P. Zank  and
Sean Oughton
William H. Matthaeus
Affiliation:
Bartol Research Institute, University of Delaware, Newark, Delaware 19716, USA
Gary P. Zank
Affiliation:
Bartol Research Institute, University of Delaware, Newark, Delaware 19716, USA
Sean Oughton
Affiliation:
Department of Mathematics, University College London, London WCIE 6BT, UK
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Abstract

A simple phenomenology is developed for the decay and transport of turbulence in a constant-speed, uniformly expanding medium. The fluctuations are assumed to be locally incompressible, and either of the hydrodynamic or non-Alfvénic magnetohydrodynamic (MHD) type. In order to represent local effects of nonlinearities, a simple model of the Kaármá-Dryden type for locally homogeneous turbulent decay is adopted. A detailed discussion of the parameters of this familiar one-point hydrodynamic closure is given, which has been shown recently to be applicable to non-Alfvénic MHD as well. The effects of the large-scale flow and expansion are incorporated using a two-scale approach, in which assumptions of particular turbulence symmetries provide simplifications. The derived model is tractable and provides a basis for understanding turbulence in the outer heliosphere, as well as in other astrophysical applications.

Type
Research Article
Information
Journal of Plasma Physics , Volume 56 , Issue 3: Special Issue: Honour of David Montgomery , December 1996 , pp. 659 - 675
Copyright
Copyright © Cambridge University Press 1996

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References

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