Plasma Surface Pressure as a Conservative, Extraneous Body Force†

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Abstract
The usual assumptions of continuum hydrodynamics plus a condition of analyticity to determine the functional form of the extra stress in the direction parallel to the surface are applied to a bounded plasma in a magnetic field. The rest configuration at uniform temperature is shown to have a gaussian density distribution. An equivalent irrotational body force is derived for use in the equation of motion which is the negative gradient of the potential energy of a perfect conductor in a magnetic field. Scaling laws of classical hydrodynamic type are also contained.

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