The Infinite Interface Limit of Multiple-Region Relaxed MHD

Abstract

We show the stepped-pressure equilibria that are obtained from a generalization of Taylor relaxation known as multi-region, relaxed MHD (MRXMHD) are also generalizations of ideal MHD. We show this by proving that as the number of plasma regions becomes infinite, MRXMHD reduces to ideal MHD. Numerical convergence studies demonstrating this limit are presented.

6 pages, 5 figures

References in corpus (3)

• Computation of multi-region relaxed magnetohydrodynamic equilibria
• Relaxed plasma equilibria and entropy-related plasma self-organization principles
• Hamilton--Jacobi theory for continuation of magnetic field across a toroidal surface supporting a plasma pressure discontinuity

Cited by in corpus (12)

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• Taylor States in Stellarators: A Fast High-order Boundary Integral Solver
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• Numerical study of $\delta$-function current sheets arising from resonant magnetic perturbations
• Multi-region relaxed magnetohydrodynamics with flow
• Multi-region relaxed magnetohydrodynamics with anisotropy and flow
• On the non-existence of stepped-pressure equilibria far from symmetry
• Spectrum of multi-region-relaxed magnetohydrodynamic modes in topologically toroidal geometry
• Multi-region relaxed Hall magnetohydrodynamics with flow
• Nonlinear saturation of resistive tearing modes in a cylindrical tokamak with and without solving the dynamics
• Sawtooth crash in tokamak as a sequence of Multi-region Relaxed MHD equilibria