Magnetic Reconnection Redux V
Reference the book
Magnetic Reconnection: MHD Theory and Applications by Eric Priest & Terry Forbes, Cambridge University Press, 2000. Magnetic reconnection is not induction. Here is the induction equation in a plasma as given in Priest & Forbes, page 5:
[size=+1](1)[/size] [latex] $ \partial \boldsymbol B / \partial t = \nabla \times (\boldsymbol v \times \boldsymbol B) - \nabla \times (\eta \nabla \times \boldsymbol B) $ [/latex]
Here [latex]\eta[/latex] is the magnetic diffusivity. If [latex]\eta[/latex] is uniform then the induction equation reduces to ...
[size=+1](2)[/size] [latex] $ \partial \boldsymbol B / \partial t = \nabla \times (\boldsymbol v \times \boldsymbol B) + \eta \nabla^2 \boldsymbol B $ [/latex]
Now, remember what I said before, and how Mozina replied ...
Besides, induction is strictly limited by the diffusion timescale of the plasma, whereas reconnection is impulsive. The two processes are distinctly different both in theory and in practice. Impulsive energy release, such as a solar flare, is quite impossible for any induction process.
I take it you've never played with a coil in car before?
Evidently, Mozina has never realized that a magnetized plasma and a coil of wire are not the same thing. So I will respond to Mozina's incredible ignorance of physics by quoting once again from Priest & Forbes, only this time with real physics, rather than the strange imitation of physics being promoted elsewhere. Given the equation I have labeled (2) above, we find ...
"This is the basic equation of magnetic behavior in MHD, and it determines B once v is known. In the electromagnetic theory of fixed conductors, the electric field and electric current are primary variables with the current driven by electric fields. in such a fixed system the magnetic field is a secondary variable derived from the currents. However, in MHD the basic physics is quite different, since the plasma velocity (v) and magnetic field (B) are the primary variables, determined by the induction equation and the equation of motion, while the resulting current density (j) and electric field (E) are secondary and may be deduced from equations (1.8) and (1.10a) if required (Parker, 1996)."
Priest & Forbes, page 14.
The conversion of magnetic energy into a current always operates on a time-scale characteristic of the system, and that time scale is controlled by the ability of the magnetic field to move through the conductor, in order to create a d
B/dt term from which the current is generated. That time-scale in a plasma is rather different than it is for a fixed conductor. Here we find the real deal once again in Priest & Forbes:
"In space physics the distinction between ideal and non-ideal processes is important because simple estimates imply that magnetic dissipation acts on a time-scale which is many orders of magnitude slower than the observed time-scale of dynamic phenomena. For example, solar flares release stored magnetic energy in the corona within a period of 100 s. By comparison, the time-scale for magnetic dissipation based on a global scale length of 105 km is of the order of 106 yrs."
Priest & Forbes, page 6
All of this occurs in the first few pages of the book, but evidently Mozina has not even bothered to look at it. Why bother to suggest books & papers when the evidence suggests that Mozina will never consult them anyway? Now, we did have this exchange ...
Had you bothered to read any of the source material you have been directed to (for instance the book Magnetic Reconnection by Priest & Forbes) you would already know this, since it is spelled out in detail (I would be more specific but I am 1000 miles from home and the book at the moment). That's why I say I don't believe you when you say you are really interested in learning. Anyone truly interested in learning would naturally consult the books & papers they are referred to.
I've done that many, many, many, many, many times now. I've lost count of how many "magnetic reconnection" papers I've been through now, and how many "textbook" descriptions I've read now. Have any of you actually read Cosmic Plasma by Alfven yet? Why wouldn't you naturally consult the guy the wrote MHD theory to see how it is "properly" applied to objects in space?
As a matter of fact, I have 2 editions of that book in my library and I do in fact consult "the guy who wrote MHD theory". However, I am not so foolish as to think that all physics came to a screeching halt with Alfven. There is no example in all the annals of the history of science of anyone, no matter how famous or how brilliant, who got everything right all of the time. Einstein was no fool, but still failed to see the value of quantum mechanics, even though he was one of its principle founding fathers. Alfven is no exception. Mozina has it all wrong, demanding the eternal infallibility of Alfven, and refusing to admit that anyone could ever have a better idea for all time. The fact remains that Alfven's objections to magnetic reconnection were wrong. There is a huge body of literature on this topic which Mozina claims to have actually consulted and read. If he did, then his ignorance of physics is simply too profound to allow him to understand what he read. Or, blinded by pure prejudice, as certainly appears to be the case, he is simply unwilling too believe anything anybody other than Alfven has to say.
This entire thread is just one constant repetition of the same tired old arguments: real physics vs. the pure prejudice of Mozina. It will never change because Mozina will never learn. So get used to zillions of pages to come with no change & no progress & no real physics ever from Mozina. That you can count on.