PreprintCC BY 4.0arXiv
Analytic non-axisymmetric 3D MHD equilibria without stellarator symmetry
Abstract
Analytical solutions to the three-dimensional ideal magnetohydrodynamic equilibrium equations (∇ × B⃗) × B⃗ = ∇ p and ∇ · B⃗ = 0 provide benchmarks for stellarator equilibrium codes. Two families of non-axisymmetric solutions were recently discovered by Landreman [arXiv:2609.26742] as counterexamples to Grad's conjecture, but both satisfy stellarator symmetry. Here, we generalize both families by introducing a symmetry-breaking parameter into each of the solutions, resulting in new non-axisymmetric solutions that break stellarator symmetry and reduce to the stellarator symmetric solutions when the newly introduced parameter is set to zero.
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BibTeX
@misc{issan2026analytic,
title = {{Analytic non-axisymmetric 3D MHD equilibria without stellarator symmetry}},
author = {Opal Issan and Jonathan Citrin and Matt Landreman and Brendan Tracey},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.07304},
eprint = {2610.07304},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.07304},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Analytic non-axisymmetric 3D MHD equilibria without stellarator symmetry
AU - Opal Issan
AU - Jonathan Citrin
AU - Matt Landreman
AU - Brendan Tracey
PY - 2026
DA - 2026/10/05
PB - arXiv
DO - 10.48550/arxiv.2610.07304
UR - https://arxiv.org/abs/2610.07304
AB - Analytical solutions to the three-dimensional ideal magnetohydrodynamic equilibrium equations (∇ × B⃗) × B⃗ = ∇ p and ∇ · B⃗ = 0 provide benchmarks for stellarator equilibrium codes. Two families of non-axisymmetric solutions were recently discovered by Landreman [arXiv:2609.26742] as counterexamples to Grad's conjecture, but both satisfy stellarator symmetry. Here, we generalize both families by introducing a symmetry-breaking parameter into each of the solutions, resulting in new non-axisymmetric solutions that break stellarator symmetry and reduce to the stellarator symmetric solutions when the newly introduced parameter is set to zero.
ER -