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<https://discovery.ucl.ac.uk/id/eprint/18900> <http://purl.org/dc/terms/title> "Applications of topology in magnetic fields"^^<http://www.w3.org/2001/XMLSchema#string> .
<https://discovery.ucl.ac.uk/id/eprint/18900> <http://purl.org/ontology/bibo/abstract> "This thesis concerns applications of topology in magnetic fields. First, we examine\r\nthe influence of writhe in the stretch-twist-fold dynamo. We consider a thin flux\r\ntube distorted by simple stretch, twist, and fold motions and calculate the helicity\r\nand energy spectra. The writhe number assists in the calculations, as it tells us how\r\nmuch the internal twist changes as the tube is distorted. In addition it provides\r\na valuable diagnostic for the degree of distortion. Non mirror-symmetric dynamos\r\ntypically generate magnetic helicity of one sign on large-scales and of the opposite\r\nsign on small-scales. The calculations presented here confirm the hypothesis that\r\nthe large-scale helicity corresponds to writhe and the small-scale corresponds to\r\ntwist. In addition, the writhe helicity spectrum exhibits an interesting oscillatory\r\nbehaviour.\r\nSecond, we examine the effect of reconnection on the structure of a braided magnetic\r\nfield. A prominent model for both heating of the solar corona and the source\r\nof small flares involves reconnection of braided magnetic flux elements. Much of\r\nthis braiding is thought to occur at as yet unresolved scales, for example braiding of\r\nthreads within an EUV or X-ray loop. However, some braiding may be still visible\r\nat scales accessible to Trace or the EIS imager on Hinode. We suggest that attempts\r\nto estimate the amount of braiding at these scales must take into account the degree\r\nof coherence of the braid structure. We demonstrate that simple models of\r\nbraided magnetic fields which balance input of topological structure with reconnection\r\nevolve to a self-organized critical state. An initially random braid can become\r\nhighly ordered, with coherence lengths obeying power law distributions. The energy\r\nreleased during reconnection also obeys a power law."^^<http://www.w3.org/2001/XMLSchema#string> .
<https://discovery.ucl.ac.uk/id/eprint/18900> <http://purl.org/dc/terms/date> "2009-11" .
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