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Diamagnetic force on a flux tube

Journal Article · · Astrophys. J.; (United States)
DOI:https://doi.org/10.1086/160635· OSTI ID:5910508
A magnetic flux tube immersed in a magnetized medium is subjected to a magnetostatic diamagnetic force. It results from the inhomogeneity of the ambient magnetic pressure caused by the presence of the extraneous conducting body. For a straight flux tube immersed in a uniform external magnetic field, the diamagnetic force per unit axial length of the flux tube is equal to the vector multiplication of the conduction current carried by the flux tube and the external magnetic field produced by external currents. A nonuniformity of the external magnetic field, which is enhanced by the polarization current induced at the periphery of the flux tube, will give rise to an additional contribution to the diamagnetic force. Mathematically, this is analogous to Kutta-Joukowski's theorem for the aerodynamic lift force on an aerofoil placed in a streaming fluid. Physically, magnetostatic diamagnetic force is a manifestation of the Biot-Savart interaction between currents at a distance. It amounts to the force acting on the currents in the flux tube by the external currents that produce the external magnetic field. In turn, a diamagnetic force is manifested in the internal stress to exert a nearly uniform force density at the distributed mass of the flux tube.
Research Organization:
Space Environment Laboratory, National Oceanic and Atmospheric Administration, Boulder, CO
OSTI ID:
5910508
Journal Information:
Astrophys. J.; (United States), Journal Name: Astrophys. J.; (United States) Vol. 264:2; ISSN ASJOA
Country of Publication:
United States
Language:
English

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