In images of sun's corona there are clear bright lines - nearly 1D stable structures interpreted as magnetic flux ropes, often suggested to have a topological nature e.g. (source):

enter image description here

They have some energy density per length, and for example magnetic reconnections shorten them, releasing large amounts of energy, giving one of suggested solutions for (unsolved?) coronal heating problem: that against 2nd law of thermodynamics, while sun's surface has temperature in thousands of kelvins, corona has in millions of kelvins.

There are also these well known fluxons/Abrikosov vortices in superconductor: also nearly 1D structures - magnetic field quantized due to topological reason that quantum phase needs to perform $2\pi n$ change over any closed loop: $$2\pi n=\Delta \varphi = \frac{q}{\hbar}\oint_{\partial S} A\cdot dl = \frac{q}{\hbar} \int_S B\cdot dS$$ enter image description here

I wanted to ask why these 1D magnetic flux ropes are stable - don't just dissipate? Is it due to topological reasons similar as for fluxons?


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