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Bifurcation in the MHD behaviour of a self-organizing system: the reversed field pinch (RFP)

S Cappello2004年Plasma Physics and Controlled FusionIF 2.2出版社

Within the framework of MHD modelling the RFP is shown to develop turbulent or laminar regimes switching from the former to the latter in a continuous way depending on the strength of dissipative forces (the higher they are the more laminar is the corresponding regime). In either of these cases interesting features can be observed such as the occurrence of quasi-periodic relaxation events involving reconnection processes, or the formation of stationary helical symmetric configurations. The first case corresponds to the conventional turbulent dynamo in the RFP where perturbations with multiple helical harmonic content are present. The second case corresponds to a global single helical deformation of the current channel. This simpler configuration is associated with a laminar electrostatic dynamo field and may also be found as a solution of a helical Ohmic equilibrium problem where a finite beta is necessary. The continuity of the transition between the two regimes suggests that the simple helical symmetric solution can provide a fruitful intuitive description of the RFP dynamo in general. Many of the MHD predictions are in good agreement with experimental findings and suggest possible improvements for the confinement properties of the RFP configuration.

日本語訳

MHDモデリングの枠組みにおいて、RFPは乱流的または層流的なレジームを発達させることが示され、消散力の強さに依存して前者から後者へ連続的に遷移する(消散力が強いほど、対応するレジームはより層流的である)。これらのいずれの場合においても、再結合過程を伴う準周期的緩和事象や、定常的なヘリカル対称構造の形成など、興味深い特徴が観察され得る。前者のケースは、複数のヘリカル高調波成分を持つ摂動を伴う、RFPにおける従来の乱流ダイナモに対応する。後者のケースは、電流チャネルの大域的単一ヘリカル変形に対応する。このより単純な構造は、層流的な静電ダイナモと関連付けられ、有限ベータが必要とされるヘリカルオーミック平衡問題の解としても見出され得る。二つのレジーム間の遷移の連続性は、単純なヘリカル対称解がRFPダイナモの全体的な記述に対して有益な直感的理解を提供し得ることを示唆している。MHD予測の多くは実験的知見と良好な一致を示し、RFP配位の閉じ込め特性に対する改善の可能性を示唆している。

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MagnetohydrodynamicsReversed field pinch
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