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A Comparison of Incompressible Limits for Resistive Plasmas

McMillan, B.; Dewar, Robert; Storer, Robin G

Description

The constraint of incompressibility is often used to simplify the magnetohydrodynamic (MHD) description of linearized plasma dynamics because it does not affect the ideal MHD marginal stability point. In this paper two methods for introducing incompressibility are compared in a cylindrical plasma model: in the first method, the limit γ → is taken, where γ is the ratio of specific heats; in the second, an anisotropic mass tensor σ is used, with the component parallel to the magnetic field taken...[Show more]

dc.contributor.authorMcMillan, B.
dc.contributor.authorDewar, Robert
dc.contributor.authorStorer, Robin G
dc.date.accessioned2015-12-13T22:39:03Z
dc.identifier.issn0741-3335
dc.identifier.urihttp://hdl.handle.net/1885/77618
dc.description.abstractThe constraint of incompressibility is often used to simplify the magnetohydrodynamic (MHD) description of linearized plasma dynamics because it does not affect the ideal MHD marginal stability point. In this paper two methods for introducing incompressibility are compared in a cylindrical plasma model: in the first method, the limit γ → is taken, where γ is the ratio of specific heats; in the second, an anisotropic mass tensor σ is used, with the component parallel to the magnetic field taken to vanish, σρ→ 0. Use of resistive MHD reveals the nature of these two limits because the Alfvén and slow magnetosonic continua of ideal MHD are converted to point spectra and moved into the complex plane. Both limits profoundly change the slow magnetosonic spectrum, but only the second limit faithfully reproduces the resistive Alfvén spectrum and its wavemodes. In ideal MHD, the slow magnetosonic continuum degenerates to the Alfvén continuum in the first method, while it is moved to infinity by the second. The degeneracy in the first is broken by finite resistivity. For numerical and semi-analytical study of these models, we choose plasma equilibria which cast light on puzzling aspects of results found in earlier literature.
dc.publisherInstitute of Physics Publishing
dc.sourcePlasma Physics and Controlled Fusion
dc.subjectKeywords: Anisotropy; Constraint theory; Incompressible flow; Magnetic field effects; Magnetohydrodynamics; Nonlinear equations; Spectrum analysis; Tensors; Finite resistivity; Magnetosonic spectrum; Plasma dynamics; Plasmas
dc.titleA Comparison of Incompressible Limits for Resistive Plasmas
dc.typeJournal article
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.citationvolume46
dc.date.issued2004
local.identifier.absfor020204 - Plasma Physics; Fusion Plasmas; Electrical Discharges
local.identifier.ariespublicationMigratedxPub6448
local.type.statusPublished Version
local.contributor.affiliationMcMillan, B., College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationDewar, Robert, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationStorer, Robin G, Flinders University
local.description.embargo2037-12-31
local.bibliographicCitation.startpage1027
local.bibliographicCitation.lastpage1038
local.identifier.doi10.1088/0741-3335/46/7/003
dc.date.updated2015-12-11T09:46:28Z
local.identifier.scopusID2-s2.0-3242660222
CollectionsANU Research Publications

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