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Title: Expansions of non-symmetric toroidal magnetohydrodynamic equilibria

Here, expansions of non-symmetric toroidal ideal magnetohydrodynamic equilibria with nested flux surfaces are carried out for two cases. The first expansion is in a topological torus in three dimensions, in which physical quantities are periodic of period 2π in y and z. Data is given on the flux surface x = 0. Despite the possibility of magnetic resonances the power series expansion can be carried to all orders in a parameter which measures the flux between x = 0 and the surface in question. Resonances are resolved by appropriate addition resonant fields. The second expansion is about a circular magnetic axis in a true torus. It is also assumed that the cross section of a flux surface at constant toroidal angle is approximately circular. The expansion is in an analogous flux coordinate, and despite potential resonance singularities, may be carried to all orders. Non-analytic behavior occurs near the magnetic axis. Physical quantities have a finite number of derivatives there. The results, even though no convergence proofs are given, support the possibility of smooth, well-behaved non-symmetric toroidal equilibria.
Authors:
ORCiD logo [1]
  1. New York Univ. (NYU), New York, NY (United States)
Publication Date:
Grant/Contract Number:
FG02-86ER53223
Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 23; Journal Issue: 6; Journal ID: ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)
Research Org:
New York Univ. (NYU), New York, NY (United States)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
OSTI Identifier:
1467570
Alternate Identifier(s):
OSTI ID: 1258497

Weitzner, Harold. Expansions of non-symmetric toroidal magnetohydrodynamic equilibria. United States: N. p., Web. doi:10.1063/1.4954048.
Weitzner, Harold. Expansions of non-symmetric toroidal magnetohydrodynamic equilibria. United States. doi:10.1063/1.4954048.
Weitzner, Harold. 2016. "Expansions of non-symmetric toroidal magnetohydrodynamic equilibria". United States. doi:10.1063/1.4954048. https://www.osti.gov/servlets/purl/1467570.
@article{osti_1467570,
title = {Expansions of non-symmetric toroidal magnetohydrodynamic equilibria},
author = {Weitzner, Harold},
abstractNote = {Here, expansions of non-symmetric toroidal ideal magnetohydrodynamic equilibria with nested flux surfaces are carried out for two cases. The first expansion is in a topological torus in three dimensions, in which physical quantities are periodic of period 2π in y and z. Data is given on the flux surface x = 0. Despite the possibility of magnetic resonances the power series expansion can be carried to all orders in a parameter which measures the flux between x = 0 and the surface in question. Resonances are resolved by appropriate addition resonant fields. The second expansion is about a circular magnetic axis in a true torus. It is also assumed that the cross section of a flux surface at constant toroidal angle is approximately circular. The expansion is in an analogous flux coordinate, and despite potential resonance singularities, may be carried to all orders. Non-analytic behavior occurs near the magnetic axis. Physical quantities have a finite number of derivatives there. The results, even though no convergence proofs are given, support the possibility of smooth, well-behaved non-symmetric toroidal equilibria.},
doi = {10.1063/1.4954048},
journal = {Physics of Plasmas},
number = 6,
volume = 23,
place = {United States},
year = {2016},
month = {6}
}