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Stellarator equilibrium axis-expansion to all orders in distance from the axis for arbitrary plasma beta.

Authors :
Sengupta, Wrick
Rodriguez, Eduardo
Jorge, Rogerio
Landreman, Matt
Bhattacharjee, Amitava
Source :
Journal of Plasma Physics. Aug2024, Vol. 90 Issue 4, p1-70. 70p.
Publication Year :
2024

Abstract

A systematic theory of the asymptotic expansion of the magnetohydrostatics (MHS) equilibrium in the distance from the magnetic axis is developed to include arbitrary smooth currents near the magnetic axis. Compared with the vacuum and the force-free system, an additional magnetic differential equation must be solved to obtain the pressure-driven currents. It is shown that there exist variables in which the rest of the MHS system closely mimics the vacuum system. Thus, a unified treatment of MHS fields is possible. The mathematical structure of the near-axis expansions to arbitrary order is examined carefully to show that the double-periodicity of physical quantities in a toroidal domain can be satisfied order by order. The essential role played by the leading-order Birkhoff–Gustavson normal form in solving the magnetic differential equations is highlighted. Several explicit examples of vacuum, force-free and MHS equilibrium in different geometries are presented. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00223778
Volume :
90
Issue :
4
Database :
Academic Search Index
Journal :
Journal of Plasma Physics
Publication Type :
Academic Journal
Accession number :
180525078
Full Text :
https://doi.org/10.1017/S002237782400076X