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arXiv · 1212.5757

Conditions for plasma evolution to the\ strong general Woltjer-Taylor state

Jun-hua Chen·Hong-yi Fan
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Abstract

We find that the proof in the recent paper$\textsuperscript{\cite{14}}$ can not justify the authors' conclusion. We provide a real proof that any state will eventually evolves to the Woltjer-Taylor state exponentially. However, this kind of evolution is is mainly due to Joule heat, which also makes the magnetic field vanishes exponentially. Zero Woltjer-Taylor states are not physically attractive. Instead of examine $\Delta$, we introduce the quantity $\theta_{\nabla \times \vec{B},\vec{B}}$ and $R$ to examine if the plasma reaches to the strong (general) Woltjer-Taylor state, and then derive the condition for the evolution to the strong/general Woltjer-Taylor state.

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Jun-hua Chen, Hong-yi Fan. 2012-12-23. Conditions for plasma evolution to the\ strong general Woltjer-Taylor state. https://doi.org/10.1103/physrevlett.110.269501

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