We have seen that, for the general screw pinch, the perturbed potential energy is where L is a Lagrangian density proportional to fξ ′2 + gξ 2. The Euler equation corresponding to Eq. (31.1) is If one uses the equilibrium condition to eliminate J z in terms of p′0, Eq. (31.2) can be written in the standard form and F(r) = k · B, and g(r) was defined in Eq. (30.35). Equation (31.3) is a second-order ordinary differential equation for the radial component of the minimizing displacement subject to the boundary conditions: ξ(0) is finite and ξ(a) = 0.
If stupidity got us into this mess, then why can’t it get us out?
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© 2009 Springer-Verlag Berlin Heidelberg
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Schnack, D.D. (2009). A Very Brief and General Tour of Suydam Analysis for Localized Interchange Instabilities. In: Lectures in Magnetohydrodynamics. Lecture Notes in Physics, vol 780. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00688-3_31
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DOI: https://doi.org/10.1007/978-3-642-00688-3_31
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