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dc.contributor.advisorHood, Alan W.
dc.contributor.authorBowness, Ruth
dc.description.abstractIn this thesis we investigate current sheets in the solar corona. The well known 1D model for the tearing mode instability is presented, before progressing to 2D where we introduce a non-uniform resistivity. The effect this has on growth rates is investigated and we find that the inclusion of the non-uniform term in η cause a decrease in the growth rate of the dominant mode. Analytical approximations and numerical simulations are then used to model current sheet formation by considering two distinct experiments. First, a magnetic field is sheared in two directions, perpendicular to each other. A twisted current layer is formed and we find that as we increase grid resolution, the maximum current increases, the width of the current layer decreases and the total current in the layer is approximately constant. This, together with the residual Lorentz force calculated, suggests that a current sheet is trying to form. The current layer then starts to fragment. By considering the parallel electric field and calculating the perpendicular vorticity, we find evidence of reconnection. The resulting temperatures easily reach the required coronal values. The second set of simulations carried out model an initially straight magnetic field which is stressed by elliptical boundary motions. A highly twisted current layer is formed and analysis of the energetics, current structures, magnetic field and the resulting temperatures is carried out. Results are similar in nature to that of the shearing experiment.en_US
dc.publisherUniversity of St Andrews
dc.subjectCurrent sheetsen_US
dc.subjectTearing mode instabilityen_US
dc.subjectMagnetic reconnectionen_US
dc.subject.lcshSun--Corona--Mathematical modelsen_US
dc.subject.lcshMagnetic reconnectionen_US
dc.titleCurrent sheets in the solar corona : formation, fragmentation and heatingen_US
dc.type.qualificationnamePhD Doctor of Philosophyen_US
dc.publisher.institutionThe University of St Andrewsen_US
dc.publisher.departmentSolar and Magnetospheric MHD Theory Groupen_US

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