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- W71251938 abstract "This thesis concerns applications of topology in magnetic fields. First, we examinethe influence of writhe in the stretch-twist-fold dynamo. We consider a thin fluxtube distorted by simple stretch, twist, and fold motions and calculate the helicityand energy spectra. The writhe number assists in the calculations, as it tells us howmuch the internal twist changes as the tube is distorted. In addition it providesa valuable diagnostic for the degree of distortion. Non mirror-symmetric dynamostypically generate magnetic helicity of one sign on large-scales and of the oppositesign on small-scales. The calculations presented here confirm the hypothesis thatthe large-scale helicity corresponds to writhe and the small-scale corresponds totwist. In addition, the writhe helicity spectrum exhibits an interesting oscillatorybehaviour.Second, we examine the effect of reconnection on the structure of a braided magneticfield. A prominent model for both heating of the solar corona and the sourceof small flares involves reconnection of braided magnetic flux elements. Much ofthis braiding is thought to occur at as yet unresolved scales, for example braiding ofthreads within an EUV or X-ray loop. However, some braiding may be still visibleat scales accessible to Trace or the EIS imager on Hinode. We suggest that attemptsto estimate the amount of braiding at these scales must take into account the degreeof coherence of the braid structure. We demonstrate that simple models ofbraided magnetic fields which balance input of topological structure with reconnectionevolve to a self-organized critical state. An initially random braid can becomehighly ordered, with coherence lengths obeying power law distributions. The energyreleased during reconnection also obeys a power law." @default.
- W71251938 created "2016-06-24" @default.
- W71251938 creator A5013842558 @default.
- W71251938 date "2009-11-01" @default.
- W71251938 modified "2023-09-26" @default.
- W71251938 title "Applications of topology in magnetic fields" @default.
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