On the magnetic helicity
- 1 March 1992
- journal article
- Published by IOP Publishing in European Journal of Physics
- Vol. 13 (2) , 70-76
- https://doi.org/10.1088/0143-0807/13/2/003
Abstract
The helicity of a divergenceless vector field B(r) in a region D, defined as the integral integral DA.Bd3r, where B= Del xA, characterizes the topological configuration of the integral lines of B, being equal to zero if they are not linked. An expression for its value in terms of the linking number of pairs of lines is given. Although the paper is devoted to the cases in which B is the magnetic field, some other applications are indicated.Keywords
This publication has 30 references indexed in Scilit:
- On a class of steady confined Stokes flows with chaotic streamlinesJournal of Fluid Mechanics, 1990
- Connectivity and Smoke-Rings: Green's Second Identity in Its First Fifty YearsMathematics Magazine, 1989
- A note on topology and magnetic energy in incompressible perfectly conducting fluidsJournal of Fluid Mechanics, 1988
- Magnetic flux conversion and relaxation toward a minimum-energy state in spheromak plasmasPhysics of Fluids, 1986
- Force-free equilibria of magnetized jetsThe Astrophysical Journal, 1985
- Rigorous new limits on magnetic helicity dissipation in the solar coronaGeophysical & Astrophysical Fluid Dynamics, 1984
- Some comments on the many-dimensional solitonsLetters in Mathematical Physics, 1976
- Force-Free Magnetic-Field Structures and Their Role in Solar ActivityThe Astrophysical Journal, 1972
- ON FORCE-FREE MAGNETIC FIELDSProceedings of the National Academy of Sciences, 1956
- ber die Abbildungen der dreidimensionalen Sph re auf die Kugelfl cheMathematische Annalen, 1931