General construction of force-free current filaments

Details General construction of force-free current filaments General construction of force-free current filaments

Jun 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992phrva..45.8816s&link_type=abstract

Physical Review A (ISSN 1050-2947), vol. 45, no. 12, June 15, 1992, p. 8816-8819.

Astronomy and Astrophysics

Astrophysics

2

Force-Free Magnetic Fields, Lorentz Force, Plasma Currents, Superconducting Power Transmission, Astrophysics, Bessel Functions, Cylindrical Plasmas, Transport Properties

Scientific paper

A complete construction of cables with vanishing Lorentz self-force is given (solution of the cylindrically symmetric force-free problem for nonconstant alpha). A key component of the result is that boundary conditions are intrinsic and cannot be imposed, which implies that many previous solutions of the problem are in fact spurious. Two force-free current ropes are constructed as an illustration. These results have applications in magnetic fusion; space physics, solar physics, and astrophysics; force-reduced superconducting magnet windings; and superconducting cables for power transmission.

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