Adiabatic evolution of plasma equilibrium
Open Access
- 1 October 1975
- journal article
- Published by Proceedings of the National Academy of Sciences in Proceedings of the National Academy of Sciences
- Vol. 72 (10), 3789-3793
- https://doi.org/10.1073/pnas.72.10.3789
Abstract
A new theory of plasma equilibrium is introduced in which adiabatic constraints are specified. This leads to a mathematically nonstandard structure, as compared to the usual equilibrium theory, in which prescription of pressure and current profiles leads to an elliptic partial differential equation. Topologically complex configurations require further generalization of the concept of adiabaticity to allow irreversible mixing of plasma and magnetic flux among islands. Matching conditions across a boundary layer at the separatrix are obtained from appropriate conservation laws. Applications are made to configurations with planned islands (as in Doublet) and accidental islands (as in Tokamaks). Two-dimensional, axially symmetric, helically symmetric, and closed line equilibria are included.Keywords
This publication has 1 reference indexed in Scilit:
- Magnetofluid-Dynamic Spectrum and Low Shear StabilityProceedings of the National Academy of Sciences, 1973