English

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

Plasma Physics 2013-11-08 v1

Abstract

We find that the proof in the recent paper\textsuperscript\cite14\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 Δ\Delta, we introduce the quantity θ×B,B\theta_{\nabla \times \vec{B},\vec{B}} and RR 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.

Cite

@article{arxiv.1212.5757,
  title  = {Conditions for plasma evolution to the\ strong general Woltjer-Taylor state},
  author = {Jun-hua Chen and Hong-yi Fan},
  journal= {arXiv preprint arXiv:1212.5757},
  year   = {2013}
}
R2 v1 2026-06-21T22:59:28.655Z