Laboratoire de Mécanique des Fluides et d'Acoustique - UMR 5509

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Laboratoire de Mécanique des Fluides et d’Acoustique
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Accueil > Équipes de Recherche > Turbulence & Instabilités > Publications T&I > Publications T&I 2018

Article dans Phys. Plasmas (2018)

On the role and value of $\beta$ in incompressible MHD simulations

Robert Chahine & Wouter J. T. Bos

On the role and value of $\beta$ in incompressible MHD simulations

The parameter $\beta$, defined as the ratio of the pressure to the square of the magnetic field, is widely used to characterize astrophysical and fusion plasmas. However, in the dynamics of a plasma flow, it is the pressure gradient which is important rather than the value of the pressure itself. It is shown that if one is interested in the influence of the pressure gradient on the dynamics of a plasma, it is not the quantity $\beta$ which should be considered, but a similar quantity depending on the pressure gradient. The scaling of this newly defined quantity is investigated using incompressible magnetohydrodynamic simulations in a periodic cylinder in the Reversed Field Pinch flow regime.
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