# Magnetic flux ropes - are they stable for topological reasons like fluxon/Abrikosov vortex?

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):

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: $$2\pi n=\Delta \varphi = \frac{q}{\hbar}\oint_{\partial S} A\cdot dl = \frac{q}{\hbar} \int_S B\cdot dS$$

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?