Some mathematics for quasi-symmetry

2019/12/13 by Joshua W. Burby, Burby, Joshua W., Nikos Kallinikos +3 · 5 citations
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1912.06468

arxiv created 2019/12/13 · arxiv updated 2019/12/16

Abstract

Quasi-symmetry of a steady magnetic field means integrability of first-order guiding-centre motion. Here we derive many restrictions on the possibilities for a quasi-symmetry. We also derive an analogue of the Grad-Shafranov equation for the flux function in a quasi-symmetric magnetohydrostatic field.

Cited by

• Numerical tests of formulae for volume enclosed by flux surfaces of integrable magnetic fields
• Periodic Korteweg-de Vries soliton potentials generate quasisymmetric magnetic field strength in a finite plasma-beta equilibrium
• A class of high-beta, large-aspect-ratio quasiaxisymmetric Palumbo-like configurations
• Near-axis measures of quasi-isodynamic configurations
• Necessary and Sufficient Conditions for Quasisymmetry

Related

• Guiding-centre Lagrangian and quasi-symmetry
• Characterization of admissible quasisymmetries
• Magnetic field with cylindrical symmetry
• The guide to the guiding center aka pseudo-momentum operator construction
• Hamiltonian for guiding center motion: symplectic structure approach