Astronomy and Astrophysics – Astrophysics
Scientific paper
Jan 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983apj...264..630y&link_type=abstract
Astrophysical Journal, Part 1, vol. 264, Jan. 15, 1983, p. 630-634.
Astronomy and Astrophysics
Astrophysics
16
Diamagnetism, Magnetic Field Configurations, Magnetohydrodynamics, Solar Magnetic Field, Inhomogeneity, Magnetostatics
Scientific paper
The diamagnetic force on a straight flux tube is elucidated. The case when the flux tube has a circular cross section is considered, and the result is generalized to the case of noncircular cross section. The result shows that when the external magnetic field is uniform, the diamagnetic force is simply equal to the vector multiplication of the internal conduction current and the external magnetic field. It is independent of the size and shape of the cross section of the flux tube. This is analogous to the Kutta-Joukowski theorem that the aerodynamic lift force is proportional to the vector multiplication of the unperturbed flow velocity and the circulation around the airfoil. When the external magnetic field is nonuniform, the diamagnetic force has an additional contribution which is proportional to the gradient of magnetic pressure and to the volume of the flux tube. The constant of proportionality, which is shown to be equal to two for a circular cross section, indicates the enhancement of the nonuniformity of the external magnetic field in the vicinity of the periphery by the polarization current.
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