Tim Thompson
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- Dec 2, 2008
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Real Plasma Physics
None of them do. However, Alfven's conditions are erroneous and therefore irrelevant. Worse, you don't have any idea what Alfven's real conditions are anyway, since you misrepresent them by constantly quoting them shorn of context. Just look at this sentence from Alfven that you regurgitate constantly: "What we have found means that we can describe plasma phenomena inside a finite volume only if no electric current crosses the surface". That sentence cannot possibly be correct as stated and is sheer nonsense. How are charged particles moving around in some volume supposed to "know" or "care" if there is an electric current flowing across some imaginary surface around this volume? How could the current possibly make it impossible to know what the plasma is doing inside the volume? You think that simple sentence is all there is to it and that is proof enough that while the words of Alfven's book might have scrolled before your eyes, comprehension & understanding have yet to scroll past your brain.
Lest we forget ... From Feb 4, 2010
Like I said: Alfven established faulty boundary conditions because he was guided by a faulty paradigm, namely the circuit paradigm for describing the physics of plasmas. You and michaelsuede have both fallen into the trap of believing that the circuit paradigm actually describes the physics of plasmas. In fact it does not and indeed cannot describe the actual physics of plasmas because the circuit paradigm does not involve particles & fields. The circuit paradigm is primarily useful as a "bookkeeping" exercise, heuristically describing the flow of energy in a plasma, without regard for the physics involved. Only at the level of particles & fields can we really understand plasma physics. The circuit paradigm is the functional equivalent of the elementary school approach to plasma physics. It's time for you to get out of the primary grades and graduate to adult level plasma physics. As long as you tout the virtues of the circuit paradigm, you are just a grade school student of plasma physics.
Yes Tim I have them all now. Before I even get into the rest of your post, please tell me which specific one of those papers and experiments satisfies Alfven's MR conditions?
None of them do. However, Alfven's conditions are erroneous and therefore irrelevant. Worse, you don't have any idea what Alfven's real conditions are anyway, since you misrepresent them by constantly quoting them shorn of context. Just look at this sentence from Alfven that you regurgitate constantly: "What we have found means that we can describe plasma phenomena inside a finite volume only if no electric current crosses the surface". That sentence cannot possibly be correct as stated and is sheer nonsense. How are charged particles moving around in some volume supposed to "know" or "care" if there is an electric current flowing across some imaginary surface around this volume? How could the current possibly make it impossible to know what the plasma is doing inside the volume? You think that simple sentence is all there is to it and that is proof enough that while the words of Alfven's book might have scrolled before your eyes, comprehension & understanding have yet to scroll past your brain.
Lest we forget ... From Feb 4, 2010
Mozina never responded. Let us be clear on something: it is the physics that Mozina does not understand at any level. It is the physics that Mozina constantly gets wrong. We can never teach Mozina physics because he is immune to learning, already quite convinced that his ignorance is in fact knowledge, he is beyond hope. But that need not apply to others reading this thread. So let me do something I said I would not do, since Mozina will never answer the questions above. Let me explore what Hannes Alfven really says about magnetic reconnection (not surprisingly, Alfven does not say what Mozina claims he says).
The following passages are transcribed from the book Cosmic Plasma by Hannes Alfven; D. Reidel Publishing Co., 1981. All of the emphasis (italics) are Alfven's from the original text, none are mine. First, Alfven addresses boundary conditions.
This is a necessary consequence of Alfven's adoption of the circuit formalism for describing the physics of plasmas. He takes the position that it is not possible to properly describe the physics of plasmas by local variables alone, but that one must include the entire circuit, hence his requirement that no electric current can flow into or out of a given volume, if you want to use only local parameters to describe the plasma.
Page 28, section II.5.1 - Boundary Conditions
"Consider a volume V of space limited by a surface S. The properties of the plasma inside of S depend on the boundary conditions. Thus by changing the current through S, we can change the behavior of the plasma. As was seen in the preceding paragraph, the properties of the plasma depend on the whole circuit in which the current flows. This means that we can describe the plasma inside of S by parameters inside S only if i = 0 everywhere on S.
Hence, even if we know all plasma parameters (like density, temperature and magnetization) at every point inside S, we can describe the plasma properties theoretically only if there is no electric current crossing the surface. Therefore, the boundary problems have to be analysed very carefully."
This leads into Alfven's specific statement about magnetic reconnection ...
Page 29, section II.5.3, - 'Magnetic Merging' Theories
"What we have found means that we can describe plasma phenomena inside a finite volume only if no electric current crosses the surface. In the terminology of the magnetic field description, this means that we can describe plasma phenomena inside a finite volume only if the perpendicular component of the curl is zero at every point of the surface."
"All theories of 'magnetic merging' (or 'field line reconnection') which do not satisfy this criterion are misleading or erroneous, and deserve no attention. This does not mean that all papers in which 'magnetic merging' is used are of no interest, because there exist some good papers (e.g., Hill, 1975) in which the term is merely a synonym for "current sheet acceleration".
These two paragraphs reveal a serious weakness in Alfven's method, in the context of modern plasma physics, and reveal precisely why Alfven was in fact wrong to reject magnetic reconnection. His statement above was correct, and as far as I know remains correct to this day. He was right to reject magnetic reconnection in the context of the boundary conditions he laid out, but carefully note what Alfven actually says, in Alfven's own words: "All theories of 'magnetic merging' (or 'field line reconnection') which do not satisfy this criterion are misleading or erroneous, and deserve no attention." Alfven did not categorically reject the idea of magnetic reconnection, he only rejected it in cases where his boundary conditions apply. The problem, of course, is that his boundary conditions can be quite unrealistic and do not apply in most cases to real plasma in space, and this is where Alfven fails: Alfven's boundary condition requirements do not necessarily reflect the physical state of real plasmas, either in space, or in the laboratory.
Magnetic reconnection requires oppositely directed magnetic fields. Parallel magnetic fields cannot reconnect. Alfven's boundary conditions establish only parallel magnetic fields and therefore rule out at once all cases where one would expect magnetic reconnection to occur. Hence, Alfven is right to claim that magnetic reconnection will not occur when his boundary conditions are satisfied. But he was wrong to assume that his boundary conditions were physically realistic when applied to real space & astrophysical plasma. He was wrong to require all plasmas to satisfy boundary conditions which automatically rule out magnetic reconnection.
Alfven established faulty boundary conditions because he was guided by a faulty paradigm, namely the circuit paradigm for describing the physics of plasmas. That paradigm has serious limitations. It is still used by plasma physicists today, but has limited application. Alfven's reliance on this circuit formalism may have been good enough to establish the basics of plasma physics and the basics of ideal MHD, but was not good enough to handle the advances that have given us modern plasma physics. None of the modern plasma physics text books I have in my library apply the circuit analogy to plasma physics the way Alfven did. It simply does not apply to realistic space plasma physics in most cases, and we can in fact deal with all cases today using the local parameters of the plasma without appealing to Alfven's limiting boundary conditions.
Now, let me add the caveat that I am not a specialist in plasma physics (although I actually have coauthored one paper in space plasma physics: Bolton, et al., 1989). But I do have a master's degree in physics, I can read plasma physics text books, and most importantly of all, I know when to ask for help. So I acknowledge hints from tusenfem on interpreting Alfven in this case. I don't think I am making any big mistakes here, but feel free to correct any errors (even the little ones).
Finally, once again, I direct the interested reader to the book Magnetic Reconnection: MHD Theory and Application; Priest & Forbes, Cambridge University Press, 2000. Section 4.2 describes the Sweet-Parker mechanism, and section 4.3 describes the faster Petschek mechanism, both of which are reconnection mechanisms that take place in plasma environments which are not allowed to exist under Alfven's restrictive boundary conditions.
Like I said: Alfven established faulty boundary conditions because he was guided by a faulty paradigm, namely the circuit paradigm for describing the physics of plasmas. You and michaelsuede have both fallen into the trap of believing that the circuit paradigm actually describes the physics of plasmas. In fact it does not and indeed cannot describe the actual physics of plasmas because the circuit paradigm does not involve particles & fields. The circuit paradigm is primarily useful as a "bookkeeping" exercise, heuristically describing the flow of energy in a plasma, without regard for the physics involved. Only at the level of particles & fields can we really understand plasma physics. The circuit paradigm is the functional equivalent of the elementary school approach to plasma physics. It's time for you to get out of the primary grades and graduate to adult level plasma physics. As long as you tout the virtues of the circuit paradigm, you are just a grade school student of plasma physics.
