Skip to content
DraconiticResearch
Search Sources API
203,203 studies31 sourcesUpdated 17 min ago
PreprintCC BY 4.0arXiv

Exact nonsymmetric vacuum magnetic field with nested toroidal flux surfaces and nonzero rotational transform

  • Omar E. López
Open at sourcePDFDOICite

Abstract

We show that an exact vacuum magnetic field without continuous Euclidean symmetry can fill a bounded solid torus with nested toroidal flux surfaces and nonzero rotational transform. We construct such a field in closed form and show that it is nowhere vanishing. Every off-axis field line closes after one toroidal transit and one poloidal turn, with rotational transform ι=−1 on every flux surface. The solution provides an exact benchmark for three-dimensional equilibrium codes.

Related

  1. Exact Nonsymmetric Vacuum Magnetic Fields with Nested Toroidal Surfaces
    W. Sengupta, A. Bhattacharjee, T. J. Klotz +5
    arXivPreprintCC BY 4.0Full textPlasma physicsarXiv
  2. Analytic toroidal 3D MHD equilibria and steady Euler flows with invariant surfaces
    Matt Landreman
    arXivPreprintCC BY 4.0Full textAnalysis & PDEsFluid dynamicsarXiv
  3. Noninvasive Anisotropic Identification of Magnetic Properties in Toroidal Shaped Magnetic Steel
    Xusen Qin, Reza Zeinali, Mitrofan Curti
    arXivPreprintarXiv licenceFull textApplied physics & instrumentationCondensed matterarXiv
  4. Helicon wave propagation, plasma generation and interaction with low-frequency waves in toroidal magnetic configurations
    Simon P. H. Vincent, Mounir Alfazzaa, Patrick Quigley +5
    arXivPreprintCC BY 4.0Full textPlasma physicsarXiv
  5. Odd-Parity Crystalline Electric Field and Multipoles in Icosahedral Quasicrystal and Approximant: Magnetic Toroidal and Electric Dipoles in Ce-Based Systems
    Shinji Watanabe, Syunta Furuya, Mitsuaki Kawamura
    arXivPreprintarXiv licenceFull textCondensed matterarXiv

Cite

BibTeXRIS
BibTeX
@misc{lopez2026exact,
  title = {{Exact nonsymmetric vacuum magnetic field with nested toroidal flux surfaces and nonzero rotational transform}},
  author = {Omar E. López},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.29921},
  eprint = {2610.29921},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.29921},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Exact nonsymmetric vacuum magnetic field with nested toroidal flux surfaces and nonzero rotational transform
AU  - Omar E. López
PY  - 2026
DA  - 2026/10/21
PB  - arXiv
DO  - 10.48550/arxiv.2610.29921
UR  - https://arxiv.org/abs/2610.29921
AB  - We show that an exact vacuum magnetic field without continuous Euclidean symmetry can fill a bounded solid torus with nested toroidal flux surfaces and nonzero rotational transform. We construct such a field in closed form and show that it is nowhere vanishing. Every off-axis field line closes after one toroidal transit and one poloidal turn, with rotational transform ι=−1 on every flux surface. The solution provides an exact benchmark for three-dimensional equilibrium codes.
ER  -