Relaxed MHD states of a multiple region plasma

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dc.contributor.authorHole, Matthew
dc.contributor.authorMills, Ruth
dc.contributor.authorHudson, Stuart R
dc.contributor.authorDewar, Robert
dc.date.accessioned2015-12-07T22:40:55Z
dc.date.issued2009
dc.date.updated2016-02-24T11:05:07Z
dc.description.abstractWe calculate the stability of a multiple relaxation region MHD (MRXMHD) plasma, or stepped-Beltrami plasma, using both variational and tearing mode treatments. The configuration studied is a periodic cylinder. In the variational treatment, the problem reduces to an eigenvalue problem for the interface displacements. For the tearing mode treatment, analytic expressions for the tearing mode stability parameter Δ′, being the jump in the logarithmic derivative in the helical flux across the resonant surface, are found. The stability of these treatments is compared for m = 1 displacements of an illustrative reverse field pinch-like configuration, comprising two distinct plasma regions. For pressureless configurations, we find the marginal stability conclusions of each treatment to be identical, confirming the analytical results in the literature. The tearing mode treatment also resolves ideal MHD unstable solutions for which Δ′ → ∞: these correspond to displacement of a resonant interface. Wall stabilization scans resolve the internal and external ideal kink. Scans with increasing pressure are also performed: these indicate that both variational and tearing mode treatments have the same stability trends with β, and show destabilization in configurations with increasing core pressure. Combined, our results suggest that variational stability of MRXMHD configurations is sufficient for both ideal and tearing (Δ′ < 0) stability. Such configurations, and their stability properties, are of emerging importance in the quest to find mathematically rigorous solutions of ideal MHD force balance in 3D geometry.
dc.identifier.issn0029-5515
dc.identifier.urihttp://hdl.handle.net/1885/24071
dc.publisherIOP Publishing
dc.sourceNuclear Fusion
dc.subjectKeywords: 3D geometry; Analytic expressions; Analytical results; Beltrami; Eigenvalue problem; Force balances; Helical flux; Logarithmic derivatives; Marginal stability; Multiple regions; Plasma region; Pressureless; Relaxation region; Resonant surfaces; Reverse fi
dc.titleRelaxed MHD states of a multiple region plasma
dc.typeJournal article
local.bibliographicCitation.issue065019
local.bibliographicCitation.startpage7
local.contributor.affiliationHole, Matthew, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationMills, Ruth, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationHudson, Stuart R, Princeton University
local.contributor.affiliationDewar, Robert, College of Physical and Mathematical Sciences, ANU
local.contributor.authoremailu4219046@anu.edu.au
local.contributor.authoruidHole, Matthew, u4219046
local.contributor.authoruidMills, Ruth, u4117471
local.contributor.authoruidDewar, Robert, u8203580
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.identifier.absfor020204 - Plasma Physics; Fusion Plasmas; Electrical Discharges
local.identifier.ariespublicationu4348025xPUB30
local.identifier.citationvolume49
local.identifier.doi10.1088/0029-5515/49/6/065019
local.identifier.scopusID2-s2.0-67649566945
local.identifier.thomsonID000266508500023
local.identifier.uidSubmittedByu4348025
local.type.statusPublished Version

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