The Motion of Magnetic Field Lines

Statistics – Applications

Scientific paper

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Scientific paper

The definition and applications of the motion of magnetic lines of force are reviewed and illustrated. First, the concept of such a motion is introduced as an aid to describing the evolution of a known magnetic field. It is next shown that a known velocity field in a perfectly conducting fluid with embedded magnetic field may be regarded as describing the velocity of the magnetic field lines there. The consequences of such a flow on the field are then derived, including the properties of flux and line preservation and Cauchy's general solution. The discussion is then extended to fluids having a finite high conductivity, with accent on the role of X-type neutral points in the magnetic field. The review concludes with a brief description of existing theories on the behavior of such neutral points.

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