Reality Check beat me to it, but it's worth repeating: On that very page, Somov writes:
As Somov says, it is the magnetic field lines that reconnect in that vacuum.
There's a difference between HIS "magnetic" lines and yours. His fields lines don't "reconnect" at a couple of zero points, they merge, change, FLUX and INDUCE currents. He also has CURRENT flowing through his X points. You'd know all this if you'd read his WHOLE book as I have done. Evidently you have no intention of reading his work. Fine. Keep going with your math. I'm dying to find out how you intend to handle that kinetic energy problem at a couple of zero points in a magnetic field. I know how Somov and Dungey deal with it (current), but I have no idea what you think is the POWER SOURCE for your experiment yet.
Somov also notes that collisionless reconnection is simpler to understand than reconnection in highly-conducting space plasma.
Sure, as long as you realize it is INDUCTION that transfers magnetic field energy into particle kinetic energy.
That's why I've been recommending that Michael Mozina try to understand magnetic reconnection in a vacuum, where everything is so much simpler that he could actually understand it (if only he'd learn some freshman-level math and physics).
Alright, I'm going to ask you the same question I asked RC. I can name at least 5 plasma physics textbooks I've read to date. How many books on PLASMA PHYSICS have you actually read Clinger?
That's because Somov is using a variant of Faraday's law of induction to explain why the electric field changes in response to fast magnetic reconnection.
It's simply "fast induction" due to changing magnetic fields (like PS's rotating magnets). There's nothing "special" about that kind of "INDUCTION"!
My derivation does not involve that law of induction.
And that is why you're basically screwed in terms of explaining the kinetic energy. FYI, you are in fact using INDUCTANCE related variables that will change dramatically with the material.
That's why I've had to be so careful about changing the magnetic field so slowly that the effect of ∂B/∂t on the electric field will be negligible and can be ignored.
Ya, but that's never going to explain the kinetic energy of a flare Clinger.
By avoiding induction, I simplify the derivation and keep it within the realm of first-year magnetostatics and freshman calculus.
You also charged into UNCHARTED TERRITORY since no other author I've ever read makes your claim and doesn't use induction.
That means the magnetic reconnection has to happen slowly, which might make it kind of boring if we were looking at it in real time, but we can use time-lapse animation to compensate for that.
And the irony of course is that CURRENT is actually doing all the work. In the real world dB/dt changes fast and that's all related to Dungey's "electrical discharge" process.
