Finite-$beta$ stabilization of a diffuse helical l = MHD equilibrium

Technical Report · Tue Apr 01 00:00:00 EDT 1975

OSTI ID:4155638

Herrnegger, F; Nuehrenberg, J

The stability of helically symmetric finite-$beta$, l = 1 magnetohydrostatic equilibria with arbitrary pressure profile and vanishing longitudinal current is investigated by means of Mercier's criterion, a sufficient criterion by Lortz, Rebhan and Spies, and Shafranov's condition for a high-$beta$ magnetic well. The new finite-$beta$ effects are that 1) a magnetic well is created throughout the plasma region for 0.2 approximately < $beta$ approximately < 0.95 and 0.3 approximately < a tau approximately < 0.6 (a plasma radius, tau torsion of the magnetic axis); 2) the mean magnetic well extends out into vacuum region for 0.75 approximately < $beta$ and b tau approximately < 0.6 (b wall radius); 3) with the exception of a very narrow region (< 0.1 a tau) around the magnetic axis, the Mercier criterion is satisfied for 0.75 approximately < $beta$ approximately < 0.95 and 0.12 approximately < a tau approximately < 0.3. (orig.)

• Research Organization: Max-Planck-Institut fuer Plasmaphysik, Garching/Muenchen (F.R. Germany)
• NSA Number: NSA-33-007075
• OSTI ID: 4155638
• Report Number(s): IPP--1/153
• Country of Publication: Germany
• Language: English

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