1991
DOI: 10.1088/0741-3335/33/12/004
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The relationship between the 'tangled discharge' and 'dynamo' models of the magnetic relaxation process

Abstract: It is shown that thcse two models are closely related. The "Tangled Discharge Model" (TDM) necessarily involves a non-vanishing ( t x b), the so-called "dynamo" effect, while the effective functioning of this term in the "Dynamo" models is shown to require a stochastic magnetic field structure. There is no inconsistency between thiscanclusionand the fact that the fully-relaxedstatemay be described by analytical forms such as the "Bessel Function Madcl" which apparently contain good Rur surfdces. The TDM is not

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Cited by 27 publications
(26 citation statements)
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“…The large scale magnetic chaos of multiple helicity states has an interesting consequence, as was shown by Rusbridge [61] on the basis of an idea by Kadomtsev and Moffatt: (i) In the radial domain where the magnetic field is chaotic, transport is fast, and the equilibrium is almost force-free; therefore J = μB where μ may be space-dependent. (ii) Setting this in ∇ · J = 0, implies ∇μ · B = 0, which shows that μ must be constant along field lines; thus μ is constant in the chaotic radial domain.…”
Section: Multiple Helicitymentioning
confidence: 98%
“…The large scale magnetic chaos of multiple helicity states has an interesting consequence, as was shown by Rusbridge [61] on the basis of an idea by Kadomtsev and Moffatt: (i) In the radial domain where the magnetic field is chaotic, transport is fast, and the equilibrium is almost force-free; therefore J = μB where μ may be space-dependent. (ii) Setting this in ∇ · J = 0, implies ∇μ · B = 0, which shows that μ must be constant along field lines; thus μ is constant in the chaotic radial domain.…”
Section: Multiple Helicitymentioning
confidence: 98%
“…The first scheme tested, the so-called intelligent-shell (IS) [4], in which the coils are coupled in a feedback scheme with the measurements provided by an identical grid of radial field sensors, improves the plasma performances by preventing the radial field penetration of the shell [5]: besides a complete suppression of the resistive wall modes [6], the TMs edge amplitude is kept at a low value. In RFPs TMs in the non-linear regime are required by the dynamo mechanism in order to maintain the reversed configuration [7,8]. Therefore these perturbations would exist even in the presence of a perfectly conducting shell.…”
Section: Introductionmentioning
confidence: 99%
“…Three theories have been proposed: the tangled discharge model or TDM [4], the magnetohydrodynamic (MHD) dynamo [5,6], and the kinetic dynamo theory or KDT [7]. In MHD dynamo theories the current drive is attributed to the eff'ect of fluctuations through the (vxb) term in Ohm's law (where v and b are the fluctuating parts of the velocity and magnetic field in the plasma), and it has recently been shown [8] that the same is true for the TDM; on the other hand, the KDT relies on an eff*ective nonlocal conductivity due to current diff'usion arising from magnetic fluctuations.…”
mentioning
confidence: 99%