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So I've been reading a number of papers by a group at UCLA that did the first laboratory experiments on magnetic reconnection (Yes, I should have finished reading and writing about the UCLA experiment by now, but I have been angsty/indecisive/lazy). A bunch of their figures were plots of contours of constant vector potential, which they claimed were magnetic field lines.

This seemed weird at first; I had never heard of it. It wasn't mentioned anywhere in Griffiths, either. A Google search turned up this, though.

There the claim is made that for a 2D planar system, you can define a flux function that turns out to be the component of magnetic vector potential A perpendicular to the plane, and that the flux function is constant along magnetic field lines. That's indeed what they've plotted. However, I would like to see a proof of this. Cornell Library is closed -- has anyone who has had graduate E/M or has a copy of Jackson available ever seen anything like this?

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meanfreepath

August 2013

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