A brief review of closures for MHD turbulence

Physics – Plasma Physics

Scientific paper

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Scientific paper

In this talk I review how two--point closures in MHD turbulence obtain for both the weak and strong cases, when the ratio of the characteristic time scales for Alfvén waves and nonlinear interactions between turbulent eddies and waves is small or not. MHD turbulence occurs for example in laboratory (fusion) plasmas, in the generation of magnetic fields for planets, stars and the galaxy, in the Solar Wind and the Earth and Jovian magnetospheres, or in the interstellar medium. The link between closure schemes and current competing phenomenologies will be clarified, and what each of them predicts as far as scaling laws are concerned will be recalled. Intermittency - or the scarcity of strong localized structures - is a key factor that is not included in closures in general, and yet its effect is an essential part of our understanding of turbulent flows, effect which will also be discussed in the framework of MHD flows. Some of the current effort in numerical modeling of MHD turbulence, and the limitations that scant grid resolution imposes on our understanding of nonlinear interactions in such flows will also be briefly illustrated.

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