Minimum energy states of the plasma pinch in standard and Hall magnetohydrodynamics
arXiv:1008.2415 · doi:10.1063/1.3676600
Abstract
Axisymmetric relaxed states of a cylindrical plasma column are found analytically in both standard and Hall magnetohydrodynamics (MHD) by complete minimization of energy with constraints imposed by invariants inherent in corresponding models. It is shown that the relaxed state in Hall MHD is the force-free magnetic field with uniform axial flow and/or rigid azimuthal rotation. The relaxed states in standard MHD are more complex due to the coupling between velocity and magnetic field. Application of these states for reversed-field pinches (RFP) is discussed.
Cited by in corpus (5)
- Stepped pressure equilibrium with relaxed flow and applications in reversed-field pinch plasmas
- Multi-region relaxed magnetohydrodynamics with flow
- A two-fluid helicity transport model for flux-rope merging
- Multi-region relaxed Hall magnetohydrodynamics with flow
- Varieties of scaling regimes in hydromagnetic turbulence