Question

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

Answer 1

In images of sun's corona there are clear bright lines - nearly 1D stable structures interpreted asmagnetic 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 knownfluxons/Abrikosov vortices in superconductor: also nearly 1D structures - magnetic field quantized due to topological reason that quantum phase needs to perform

Answer 2

here is the answer my friend