Work

Exact Nonsymmetric Vacuum Magnetic Fields with Nested Toroidal Surfaces

Year: 2026

Type: preprint

Abstract: We give a constructive method for exact vacuum magnetic fields whose lines fill nested toroidal surfaces in ordinary space, without continuous spatial symmetry. Complex potential theory on an algebraic curve, combined with doubly periodic traveling waves from soliton theory, gives closed forms for the field, its potential and a surface label. Free parameters set the rotational transform and the magnetic shear, including exactly constant irrational transform. The same fields are exact potential flows with toroidal stream surfaces, and give stringent tests for standard stellarator codes.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.28466

Authors: Sengupta, W., Bhattacharjee, A., Klotz, T. J., Brown, A. O., Burby, J. W., Duarte, V. N., Patil, S., Buller, S.

Institutions: Princeton University, University of Colorado Boulder, University of Colorado System, Princeton Plasma Physics Laboratory, The University of Texas at Austin

Language: English

Topic: Magnetic confinement fusion research

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7223135428

Cites: 5

Cited by:

Related to: 10